OpenLLM-France/wikimedia huggingface dataset:
# Canadian Criminal Sentencing/Cases/Possession of Stolen Property
## Possession Under $5,000

| Case | Citation | Sentence | Summary |
| R. v. Sagoo | 2008 BCCA 41 | 6 months | possession stolen car |

## Possession Over $5,000

| Case | Citation | Sentence | Summary |
| R. v. Soldat | 2012 MBCA 39 | 15.5 months | |
| R. v. McBain | 2012 ABCA 104 | 3 years | possession stolen property over $5,000--long criminal record |
| R. v. Brown | 2010 NSPC 38 (CanLII) | 1 year | Offender was participating in relatively sophisticated "chop shop" operation. Found 12 stolen vehicles valued at roughly $400,000. Offender had dated unrelated record. |
| R. v. McCaskill | 2008 ABCA 202 | 12 months CSO | poss'n stolen stolen computer equipment valued at $19-26,000. |
| R. v. Banks | 2005 ABCA 55 | 3.5 years | Offender convicted of 8 counts possession of stolen property of car parts. Offender was involved in sophisticated "chop shop". Offender fled prior to sentencing also stole a vehicle in process. Offender had a prior related record. Also given 6 months for failing to attend court. |
| R. v. Kravchov | [2002] O.J. No. 2172 | 2 years | Offender found in possession of 5 stolen vehicles. He was involved with sophisticated international car theft organization. Offender had prior related record. Extra credit due to extreme remand conditions arising from public service strike. |
# Canadian Criminal Sentencing/Cases/LTO and DO Applications

| Case | Cite | Sentence | Summary |
| R. v. Bitternose | 2012 ABPC 321 (CanLII) | DO | |
| R v Ominayak | 2012 ABCA 337 (CanLII) | DO | |
| R. v. Côté | 2012 ONCJ 707 (CanLII) | DO | |
| R v G.N.B. | 2012 SKQB 397 (CanLII) | DO | |
| R. v. Ziegler | 2012 BCCA 353 (CanLII) | DO | appeal from 2012 BCPC 61 |
| R v Downs | 2012 SKQB 198 | LTO | |
| R v Natomagan | 2012 SKCA 46 | LTO | sentenced to 8 years followed by LTO, crown failed in application for DO |
| R. v. Taylor | 2012 ONSC 1025 | DO | |
| R v Ben | 2012 SKPC 52 | DO | conviction for assault peace officer, obstruction |
| R v C.J.D. | 2012 SKQB 101 | DO | conviction for 271 |
| R. v. Davis | 2012 MBQB 9 | LTO | |
| R v Cook | 2012 MBPC 18 | DO | |
| R. v. Gonzales | 2011 BCPC 353 | LTO | |
| R v Piapot | 2011 SKQB 470 | LTO | |
| R. v. Tippett | 2011 ONSC 6461 | DO | |
| R. v. Hogg | 2011 ONCA 840 | DO | assault x 2 |
| R. v. Robinson | 2011 ABCA 320 | | |
| R. v. Atatise | 2011 MBQB 277 | DO | |
| R. v. Overton | 2010 NSPC 61 | LTO | multiple arsons |
| R. v. A.D.M. | 2008 NSSC 54 | N/A | |
| R. v. Pedden | 2005 BCCA 121 | DO | |
| R. v. Johnson | 2001 BCCA 456 | DO | |
# Chemical Information Sources/Archive1/SIRCh

This archive version of this page in the Chemical Information Sources Wikibook gives a snapshot of the text as of March 7, 2015. Note that external links may become obsolete over time
SIRCh: Selected Internet Resources for Chemistry
SIRCh provides links to factual sources on the Internet where answers can be found to chemical questions.
| Main Topic | Includes |
| How and Where to Start | Publications, Guides, Computer Searching, Current Awareness, Reviews, Document Delivery, Background Reading |
| How and Where to Search: General | Chemical Databases, Author, Citation, Subject, Chemical Name, Formula, Structure Searching |
| How and Where to Search: Specialized | Synthesis, Reaction, Safety, Analytical, Physical, Patent Searching |
| Communicating in Chemistry | Blogs, Newsgroups, Listserves, Visualization, Writing |
| Miscellaneous | History, Directories, Teaching, Study, Careers, Cheminformatics, Bioinformatics |
| Supplemental Resources | CIS, CIIM, Problem Sets, CRSD, CHMINF-L |

#### CONTENTS
##### How and Where to Start

SIRCh: The Publication Process
SIRCh: Guides to Chemical Information Sources and Databases
SIRCh: Computer Searches
SIRCh: Keeping Up and Looking Back: Current Awareness, Reviews, and Document Delivery
SIRCh: Deep Background Reading: Dictionaries, Encyclopedias, Treatises, Monographs, and Other Books

##### How and Where to Search: General

SIRCh: Chemistry Databases on the Web (Alphabetical List)
SIRCh: Chemistry Databases on the Web (Classified List)
SIRCh: Author and Citation Searches
SIRCh: Subject Searches
SIRCh: Chemical Name and Formula Searches
SIRCh: Structure Searches

##### How and Where to Search: Specialized

SIRCh: Synthesis and Reaction Searches
SIRCh: Chemical Safety and Toxicology Searches
SIRCh: Analytical Chemistry Searches
SIRCh: Physical Property Searches
SIRCh: Chemical Patent Searches

##### Communicating in Chemistry

SIRCh: Chemistry Blogs and Discussion Groups
SIRCh: Molecuar Visualization Tools and Sites
SIRCh: Science Writing Aids

##### Miscellaneous

SIRCh: Chemical History, Biography, Directories, and Industry Sources
SIRCh: Teaching and Study of Chemistry
SIRCh: Chemistry Courses on the Web
SIRCh: Careers in Chemistry
SIRCh: Cheminformatics (aka, Chemoinformatics or Chemiinformatics)
SIRCh: Bioinformatics

##### Supplemental Resources

Chemical Information Sources: Lecture notes on the topics listed above.
CIIM: Chemical Information Instructional Materials (Web resources for more in-depth training on the topics discussed in the chapters.)
* Problem Sets
CRSD: Chemical Reference Sources Database (a searchable database that covers reference books, commercial databases, etc.)
CHMINF-L: Chemical Information Sources Discussion List (a listserv in existence since 1991 with many chemistry librarians, chemists, publishers, and others interested in chemical information; has a searchable archive of all posts since its inception.)
# Chemical Information Sources/CIIM/Beilstein Handbook of Organic Chemistry

Chemical Information Instructional Materials

##### CrossFire

* Beilstein and Gmelin Databases (Wixson, Rowe, Wisconsin)
* Beilstein and Gmelin Databases (Wixson, Stonemen, Wisconsin)
* CrossFire Beilstein Data Fields Reference Guide
* CrossFire Beilstein Data Structure Poster
* CrossFire Commander 7.0 User Guide
* Beilstein CrossFireplusReactions (Briggs, Schofield, Meehan PowerPoint, UMIST)
* Getting More from CrossFire (Schofield, Briggs, Meehan PowerPoint, UMIST) Presentation on using Crossfire with stereochemistry, reactions, Gmelin ligands, Autonom, and Microsoft Excel Client.
* Beilstein/Gmelin and CrossFire The John Crerar Library, University of Chicago) Includes links to a number of guides, among which are:
** CrossFire Beilstein Fact Searching (Twiss-Brooks, Chicago)
** Beilstein Structure Searching (Twiss-Brooks, Chicago)
** Searching for Compound Preparations using Beilstein CrossFire Reaction Searching (Twiss-Brooks, Chicago)
** Reaction Searching Tips (Twiss-Brooks, Chicago) Includes atom mapping, bond making/breaking, and combining a structural reaction search with a factual reagent search.
* CrossFire Abstracts - A Tutorial (Beilstein Information, 1998)

##### DiscoveryGate

* Interactive Videos(Elsevier MDL)
* How Do I Guides(Elsevier MDL)
* Beilstein Installation Instructions for PC (Cardinal, Rochester)
* Beilstein Installation Instructions for Mac (Cardinal, Rochester)

##### STN

* What's New in ReaxysFile? (FIZ Karlsruhe, 2013)

##### Dialog

* Beilstein (Dialog)

##### Lawson Numbers

* Beilstein Lawson Number Descriptions (Allison Tipton)
* Using the Lawson Number When Searching Beilstein (Allison Tipton)

##### Miscellaneous

* Beilstein Training Pages (Waugh and George, Indiana) An Excel spreadsheet summarizing useful Web sites for using Beilstein via Crossfire. Includes sites for beginning, intermediate, and advanced users.
* Comparison of Beilstein, SciFinder, and InfoChem's SPRESI Database (Lee, Catalytica Inc) Lists the coverage dates, the number of records, types of available searches strategies, strengths and weaknesses, and sources of supplemental information for each database.
* Beilstein Dictionary: German-English and English-German (Baysinger, Stanford) An online version of the Springer-Verlag Beilstein German-English Dictionary.
* German-English Terms for Physical Properties in Beilstein (Wiggins, Indiana)
* German-English Terms for Reaction Chemistry in Beilstein (Wiggins, Indiana)
* The Beilstein system: strategies for effective searching / editor, Stephen R. Heller. Washington, D.C.: American Chemical Society, 1998.

##### Printed Beilstein

* The Beilstein Handbook of Organic Chemistry for the Occasional User (Barnett, City College NY)Provides a history and overview of the printed Beilstein as well as instructions for computer searches on SANDRA that predate Crossfire.
* A Guide to the Printed Beilstein (Wiggins, Indiana University)
# Chemical Information Sources/CIIM/Chemical Abstracts and STN

Chemical Information Instructional Materials

##### SciFinder

* SciFinder Training Calendar
* SciFinder Training: Web Version
* How to use the new features: SciFinder
* DS Visualizer download site for SciFinder
** (NB: Windows only. Install this before installing SciFinder for 3D visualization)
* Getting Started with SciFinder (Donna Wrublewski, Caltech)
* SciFinder Web User Guide (Department of Chemistry, University of Oxford)

##### STN Express with Discover!

* STN Express Support Information
* Structure Searching in CAS Online Using STN Express: An Introductory Workshop (Grace Baysinger, Stanford)

##### STN Easy

* STN Easy Resources
* STN Easy Quick Tips
* STN Easy Help

##### STN on the Web

* STN on the Web Support Information

##### Command Line Searching in STN Databases

* STN Support Information CAS Customer Center
* CAS e-Seminars Schedule and Archives
* CAS Training & Events Calendar
* STN QUICK REFERENCE RESOURCES
** ANALYZE and TABULATE for Statistical Analysis (PDF)
** Archive and Redistribute Results with the STN Information Keep & Share Program (PDF)
** Basic Commands on STN (PDF)
** CA Section Thesaurus (PDF)
** CAS REGISTRY: Finding CAS Registry Numbers(PDF)
** CAS REGISTRY: Stereoisomer Searching (PDF)
** CAS REGISTRY: BLAST Similarity Searching via STN Express (PDF)
** CAS REGISTRY: Exact and Pattern Searching of Nucleic Acid Sequences (PDF)
** CAS REGISTRY: Exact and Pattern Searching of Protein Sequences (PDF)
** CAS Roles in CA/CAplus(PDF)
** CASLINK for one-step Structure Searching in CAS REGISTRY, MARPAT, and CAplus (PDF)
** Citation Searching in SciSearch (PDF)
** Current Awareness Alerts User Guide (PDF)
** Polymer Information on STN (PDF)
** STN Index User Guide (PDF)
** Thesauri on STN (PDF)
** TRANSFER Command for Crossfile Searching(PDF)
* Tips for Searching the CA & Registry Files on STN (CAS8721-0894)
** Basic STN Commands
** Operators for Relating Search Terms (STN)
** Truncation Symbols ("Wild Cards")
** Keyword Searches in the CA File
** Tips for Keyword Searching in the CAplus File
** Ways to Narrow Your Answer Set in the CA File
** Tips for Chemical Name Searching
** Finding Preparations on STN When You Know the MF of the Product
** Tips for Molecular Formula Searching
** Locating all CAplus File References Citing a Chemical Substance
** Before You Begin A Structure Search on STN
** Tips for Building Structures for Substructure Searching

##### General

* CAS REGISTRY Counter For more information click to the right side of the REGISTRY counter
* STN Units System
* CAS Standard Abbreviations & Acronyms
* Hierarchies of General Subjects CA Index Guide Appendix I 1994 (Stanford)
# Chemical Information Sources/CIIM/Cambridge Structural Database

Chemical Information Instructional Materials
* Teaching Database a free 500-structure subset of the Cambridge Structural Database (CSD)
* Documentation (Cambridge Crystallographic Data Centre)
# Chemical Information Sources/CIIM/Chemical Author or Corporate Name Searching

Chemical Information Instructional Materials
# Chemical Information Sources/CIIM

Chemical Information Instructional Materials
For further study
| Main Topic | Includes |
| Major Tools or Databases | CA/STN, SCI, Beilstein, Gmelin, Landolt-Boernstein, Cambridge Structural Database, PubChem |
| How and Where to Start | Guides, Reviews, Current Awareness, Background Reading, Document Delivery |
| How and Where to Search: General | Author, Citation, Subject, Chemical Name, Formula, Structure Searching |
| How and Where to Search: Specialized | Synthesis, Reactions, Safety, Analytical, Physical, Patent Searching |
| Communicating in Chemistry | Publications, Databases, Nomenclature, Writing |
| Miscellaneous | History, Directories, Study, Teaching, Cheminformatics Teaching |
| Supplemental Resources | CIS, SIRCh, CIIM, Problem Sets, CRSD, CHMINF-L |

#### CONTENTS
##### Major Tools or Databases

* Chemical Abstracts and STN
* Science Citation Index and Web of Knowledge
* Beilstein Handbook of Organic Chemistry
* Gmelin Handbook of Inorganic and Organometallic Chemistry
* Landolt-Boernstein Numerical Data and Functional Relationships in Science and Technology
* Cambridge Structural Database
* PubChem

##### How and Where to Start

* Chemistry Guides
* Reviews
* Current Awareness, Background Reading, and Document Delivery

##### How and Where to Search: General

* Chemical Author or Corporate Name Searching
* Chemical Subject Searching
* Chemical Name and Formula Searching Aids
* Chemical Structure Searching

##### How and Where to Search: Specialized

* Chemical Synthesis or Reactions
* Chemical Safety or Toxicology Information
* Analytical Chemistry (Constitutional Chemistry)
* Physical Property Searching
* Chemical Patent Searching Aids

##### Communicating in Chemistry

* General Information about Chemical Publications or Databases
* Chemical Nomenclature
* Science Writing Tutorials and Courses

##### Miscellaneous

* History, Biography, Directories, Chemical Industry Sources
* How to Teach Chemical Information
* Chemical Information Course Syllabi
* Chemical Information Problem Sets and Exercises
* Examinations for Chemical Information Courses
* Cheminformatics Teaching Materials

##### Supplemental Resources

Chemical Information Sources: Lecture notes on the topics listed above.
SIRCh: Selected Internet Resources for Chemistry (Links to Web resources with the same subject outline as the chapters on this page.)
Problem Sets and Exercises: Chemical Information
CRSD: Chemical Reference Sources Database (a searchable database that covers reference books, commercial databases, etc.)
Information Competencies for Chemistry Undergraduates: the Elements of Information Literacy Wikibook, July 2012- ; from the Special Libraries Association, Chemistry Division and the American Chemical Society, Division of Chemical Information
CHMINF-L: Chemical Information Sources Discussion List (a listserv in existence since 1991 with many chemistry librarians, chemists, publishers, and others interested in chemical information; has a searchable archive of all posts since its inception.)
# Chemical Information Sources/CIIM/Analytical Chemistry (Constitutional Chemistry)

Chemical Information Instructional Materials
* Cambridge Structural Database Interactive Demo
* Finding Authentic Chemical Spectra (IR, NMR, UV) in the Purdue University Library (Drabenstott, Michigan)
* Spectroscopy for the Unpolarized: How to Find Spectra and Spectroscopic Information (Elizabeth Brown, Binghamton University)
* Protein Protein Sequences in the CAS Registry File on STN--Exact and Pattern Searching (A Quick Reference Guide)
* Nucleic Acid Sequences] in the CAS Registry File on STN--Exact and Pattern Searching (A Quick Reference Guide)
* Chemistry: Analytical (Harkanyi, San Diego)
* Analytical Chemistry (Constitutional Chemistry) (Wiggins, Indiana)
# A-level Mathematics/OCR/C2/Circles and Angles
## Angular Measurement and Circular Sectors

A section of a circle is known as a sector. One side of the sector is the radius. The portion of the circumference that is included in the sector is known as an arc.

### Angular Degree

A circle has 360 degrees. Each degree can have 60 minutes (designated as ' ) and each minute can have 60 seconds (designated as " ). Since we can not convert minutes or seconds into radians directly we need to convert the minutes and seconds into a decimal number. Here is the formula:
Convert $X^{\circ }$ Y' Z" into degrees.
$X+\left(Y\times {\frac {1}{60}}\right)+\left(Z\times {\frac {1}{3600}}\right)=X+{\frac {Y}{60}}+{\frac {Z}{3600}}$
For a practical example, convert $23^{\circ }$ 18' 38" into degrees.
$23+{\frac {18}{60}}+{\frac {38}{3600}}=23.3106$

### Angular Radian

A radian is the angle subtended at the centre of a circle by an arc of its circumference equal in length to the radius of the circle. Since we know that that the formula for the circumference of a circle is $C=2\pi r$ we can determine that there are $2\pi$ radians in a circle. We abbreviate radians as rad.

### Conversion Between Degrees and Radians

Mathematics requires us to use radians for most angular measurements. Therefore we need to know how to convert from degrees to radians Since we know that there are $360^{\circ }$ degrees or $2\pi$ radians in a circle. We can determine these equations: $1^{\circ }={\frac {\pi }{180}}$
$1\ radian={\frac {180}{\pi }}$
So we can write these general formulae.
$X^{\circ }={\frac {X\times \pi }{180}}$
$X\ radian\left(s\right)={\frac {X\times 180}{\pi }}$
Here is an example convert $20^{\circ }$ into radians
$20^{\circ }={\frac {20\times \pi }{180}}={\frac {1}{9}}\pi \ rad$
Convert ${\frac {1}{9}}\pi$ into degrees.
${\frac {1}{9}}\pi \ radian\left(s\right)={\frac {{\frac {1}{9}}\pi \times 180}{\pi }}=20^{\circ }$

### Arc Length

In most cases it is very difficult to measure the length of an arc with a ruler. Therefore we need to use a formula in order to determine the length of the arc. The formula that we use is:
$Arc\ Length=(\theta \ in\ radians)(radius)\,$ in symbols this is $s=\theta r\,$. Note: θ need to be in radians
Here is an example, determine the length of the arc created by a sector with a 6 cm radius and an angle of $53^{\circ }$.
The first thing we need to do is convert θ from degrees to radians.
$53^{\circ }={\frac {53\pi }{180}}rad$
Now we can calculate the length of the arc.
$s={\frac {53\pi }{180}}\times 6\approx 5.55cm$

### Area of a Sector

The area of a sector can be found using this formula:
$Area={\frac {1}{2}}r^{2}\theta$Note: θ need to be in radians.
Calculate the area of a sector with a 3 cm radius and an angle of 2π.
$Area={\frac {1}{2}}3^{2}\times 2\pi \approx 28.3cm^{2}$
Dividing and Factoring Polynomials / Sequences and Series / Logarithms and Exponentials / Circles and Angles / Integration
# A-level Mathematics/OCR/C1/Indices and Surds/Problems

Feel free to add more problems as long as you provide the solutions

## Indices

Simplify the Indices.
* $x^{2}x^{3}$
* $x^{3}x^{-2}$
* ${\frac {x^{5}}{x^{2}}}$
* $x^{-4}$
* $\left(x^{3}\right)^{4}$
* $\left(xy\right)^{2}$
* $\left({\frac {y}{b}}\right)^{3}$
* $x^{\frac {2}{3}}$
* ${\frac {x^{2}x^{4}}{\left(x^{2}\right)^{2}}}$
* $x^{5}x^{-5}$

## Surds

Simplify the following Surds.
* ${\sqrt {9}}$
* ${\sqrt {25}}$
* ${\sqrt {45}}$
* ${\sqrt {63}}$
* ${\sqrt {100}}$
* ${\sqrt {48}}$
* ${\sqrt {98}}$
* ${\sqrt {75}}$
* ${\sqrt {32}}$
* ${\sqrt {320}}$
* ${\sqrt {256}}$
* ${\sqrt {\frac {9}{36}}}$
* ${\sqrt[{3}]{\frac {27}{125}}}$
* ${\sqrt {\frac {162}{200}}}$
* ${\sqrt {\frac {75}{3}}}$
* ${\sqrt {\frac {112}{72}}}$
Rationalize the Denominator
* ${\frac {2}{\sqrt {4}}}$
* ${\frac {8}{4+{\sqrt {26}}}}$
* ${\frac {12}{12-{\sqrt {76}}}}$
* ${\frac {3}{3-{\sqrt {65}}}}$
* ${\frac {9}{9+{\sqrt {9}}}}$
* ${\frac {a^{2}}{a+{\sqrt {a}}}}$
# A-level Mathematics/OCR/C1/Indices and Surds/Solutions

These are the solutions to Indices and Surd Problems.

## Indices

* $x^{5}$
* $x$
* $x^{3}$
* ${\frac {1}{x^{4}}}$
* $x^{12}$
* $x^{2}y^{2}$
* ${\frac {y^{3}}{b^{3}}}$
* ${\sqrt[{3}]{x^{2}}}$
* $x^{2}$
* $1$

## Surds

* ${\sqrt {9}}=3$
* ${\sqrt {25}}=5$
* ${\sqrt {45}}={\sqrt {9}}{\sqrt {5}}=3{\sqrt {5}}$
* $3{\sqrt {7}}$
* ${\sqrt {100}}=10$
* $4{\sqrt {3}}$
* $7{\sqrt {2}}$
* $5{\sqrt {3}}$
* $4{\sqrt {2}}$
* $8{\sqrt {5}}$
* $16$
* ${\frac {1}{2}}$
* ${\sqrt[{3}]{\frac {27}{125}}}$ = ${\frac {27^{\frac {1}{3}}}{125^{\frac {1}{3}}}}$ = ${\frac {3}{5}}$ (Note: $x^{\frac {1}{3}}\times x^{\frac {1}{3}}\times x^{\frac {1}{3}}=x$)
* ${\sqrt {\frac {162}{200}}}$ = ${\frac {\sqrt {162}}{\sqrt {200}}}$ = ${\frac {{\sqrt {81}}\times {\sqrt {2}}}{{\sqrt {100}}\times {\sqrt {2}}}}$ = ${\frac {9{\sqrt {2}}}{10{\sqrt {2}}}}$ = ${\frac {9}{10}}$
* $5$
* ${\frac {\sqrt {14}}{3}}$
* $1$ (denominator is already rational)
* $-{\frac {32-8{\sqrt {26}}}{10}}$
* ${\frac {144+24{\sqrt {19}}}{68}}$
* ${\frac {9+3{\sqrt {65}}}{-56}}$
* ${\frac {3}{4}}$
* ${\frac {{a^{2}}-a{\sqrt {a}}}{a-1}}$
# A-level Mathematics/OCR/C2

This is the Core Mathematics 2 module of the A-level Mathematics book. This module assumes that you are familiar with the C1 module. Please post all questions to A-level Mathematics/Discussion.

## Chapters

* Dividing and Factoring Polynomials
* Sequences and Series
* Logarithms and Exponentials
* Circles and Angles
* Trigonometric Functions
* Integration - Integration Practice Problems - Integration Practice Solutions
* Appendix A: Formulae
# A-level Mathematics/OCR/C2/Dividing and Factoring Polynomials
## Remainder Theorem

The remainder theorem states that: If you have a polynomial f(x) divided by x + c, the remainder is equal to f(-c). Here is an example.
What will the remainder be if $x^{3}+8x^{2}-4x^{2}+17x-40$ is divided by x - 3?
$f(3)=3^{3}+8\left(3\right)^{2}-4\left(3\right)^{2}+17\left(3\right)-40=74$
The remainder is 74.

## Factorising

When you factor an equation you try to "unmultiply" the equation. The N-Roots Theorem states that if f(x) is a polynomial of degree greater than or equal to 1, then f(x) has exactly n roots, providing that a root of multiplcity k is counted k times. The last part means that if an equation has 2 roots that are both 6, then we count 6 as 2 roots.

### The Factor Theorem

The factor theorem allows us to check whether a number is a factor. It states:
$f(x)$
$f(c)=0$
For example:
Determine if x + 2 is a factor of $2x^{2}+3x-2$.
Since c is positive instead of negative we need to use this basic identity:
$x+2=x-\left(-2\right)$
Now we can use the factor theorem.
$2\left(-2\right)^{2}+3\left(-2\right)-2=8-6-2=0$.
Since the resultant is 0, (x+2) is a factor of $2x^{2}+3x-2$.
This means it is possible to re-state the polynomial in the form (x+2)( some linear expression of x).
So $2x^{2}+3x-2$ = (x+2)(ax+b)
Expanding the right hand side we get :
$2x^{2}+3x-2$ = $ax^{2}+x(2a+b)+2b$
Equating like terms we get :
2= a
2a+b = 3 and
2b = -2
Giving a= 2, b= -1 from the first and third equations and this works in the second, so
$2x^{2}+3x-2$ = (x+2)(2x-1)
Dividing and Factoring Polynomials / Sequences and Series / Logarithms and Exponentials / Circles and Angles / Integration
# Back Pain/Treatment-Behavior
## Home Exercises and Stretching

A highly recommended book to start with is Robin McKenzie's "7 Steps to a Pain-Free Life: How to Rapidly Relieve Back and Neck Pain". These exercises don't help everybody, but for a sizable portion of the population they do a great deal of good.
Also, consult Pete Egoscue's "Pain Free: A Revolutionary Method for Stopping Chronic Pain". You can also receive expert advice from Postural Restoration Therapists and Posture Alignment Specialists (PAS). See egoscueuniversity.com and posturalrestoration.com

## Other Behavior Modifications

Many people with lower back pain find that bad posture while sitting contributes to their pain. A good chair can help alleviate this problem, but a cheaper and more universal solution is a lumbar support roll. These come in many forms, from the home-made to professionally designed solutions sold in most back-pain stores.
A lumbar roll is placed just above the belt line, while sitting up straight in a normal chair. It causes your spine to bend forward in the same way it should naturally, but is often lost with age.
Two easy home alternatives to a lumbar roll is a roll of paper towels (Small sizes work best) or a rolled up towel.