Article: When you start a polynomial long division problem, you will not know at the beginning whether or not you will have a remainder. Set up the problem just as you would with any long division. For example, suppose you have the problem x2+5x+9x+3{\displaystyle {
rac {x^{2}+5x+9}{x+3}}}. Set this up as: x+3)x2+5x+9{\displaystyle x+3{\overline {)x^{2}+5x+9}}}. Look at the first term of the dividend and the first term of the divisor. Estimate the quotient and write the result above the bar line. In this example, the first term of the quotient is x2{\displaystyle x^{2}} and the first term of the divisor is x{\displaystyle x}. x2{\displaystyle x^{2}} divided by x{\displaystyle x} goes in x{\displaystyle x} times, so write the result x{\displaystyle x} above the division bar line. Find the partial product for the first step by multiplying your first estimate of the quotient by the divisor. Write your result underneath the dividend. For this problem, multiply the x{\displaystyle x} that you wrote above the bar line by the terms of the divisor x+3{\displaystyle x+3}. Write the result, x2+3x{\displaystyle x^{2}+3x} underneath the corresponding terms x2+5x{\displaystyle x^{2}+5x}. Draw a line underneath your last result and subtract term by term. Write the differences at the bottom of the problem. In this example, the first terms will cancel as x2x2=0{\displaystyle x^{2}-x^{2}=0}. The second term subtraction is 5x3x{\displaystyle 5x-3x}. Write the result, 2x{\displaystyle 2x}, at the bottom of the problem. As before, copy the next term of the dividend polynomial down to the bottom and add it to the result from your subtraction step. In this case, the final term of the polynomial is +9{\displaystyle +9}. Copy this down to the bottom and add it to the 2x{\displaystyle 2x} from your previous step. This creates the binomial 2x+9{\displaystyle 2x+9}. Look at the first terms and decide how many times the x{\displaystyle x} of your divisor x+3{\displaystyle x+3} will go into the 2x{\displaystyle 2x} at the bottom. Write this result, 2{\displaystyle 2} above the division line at the top of the problem. This gives you a quotient of x+2{\displaystyle x+2}. Use the term that you just placed in the quotient to multiply the divisor. Write the result at the bottom of the long division problem. In this example, multiply the +2{\displaystyle +2} by each term of the divisor x+3{\displaystyle x+3}. Write the result, 2x+6{\displaystyle 2x+6} at the bottom. Align the common terms underneath each other. Remember how you handle remainders when dividing with only numbers. Before you learned to divide into decimal points, you learned to write the remainder as a fraction over the divisor. You do the same thing with polynomial division. You will write the remainder as the numerator of a fraction, with the divisor as the denominator. Consider the numerical example, 3)35{\displaystyle 3{\overline {)35}}}. This would give a result of 11, with a remainder of 2. You would write your answer as 1123{\displaystyle 11{
rac {2}{3}}}. For the polynomial division, your quotient was x+2{\displaystyle x+2} with a remainder of 3{\displaystyle 3}. Write the remainder as a fraction over the divisor, so you report your full quotient as x+2+3x+3{\displaystyle x+2+{
rac {3}{x+3}}}.
Question: What is a summary of what this article is about?
Set up your problem. Estimate the first term of your quotient. Multiply the quotient term by the divisor. Subtract. Carry down the next term of the polynomial. Repeat the long division process. Multiply the last term of the quotient by the divisor. Report your result.
Article: This is available on most screens and apps. If you're watching a video, you may have to swipe up twice; once to make the Control Center arrow appear, and once again to pull it up. This panel appears when you are watching a video or listening to music. You'll find playback controls on this panel. You'll find the volume slider at the bottom of the panel. This will adjust the volume for the media that is currently being played.
Question: What is a summary of what this article is about?
Swipe up from the bottom of the screen to open the Control Center. Swipe from right to left to open the media panel. Use the volume slider to adjust your volume.
Article: Either use the Start menu to shut down, or press and hold your computer's power button until the computer shuts down. If you're using a desktop computer, you can usually turn the CPU entirely off by pressing a switch on the back of the CPU box. This includes power cables for desktop computers and charging cables for laptops. If you're using a laptop (or a desktop with a backup battery), remove the battery before continuing. before continuing. Touch a nonpainted metal surface to get rid of any static electricity before you start taking apart your computer. Touching the motherboard or other internal computer components while not properly grounded can permanently damage your computer. You will need to be able to access the motherboard of your computer. Be very careful when working on the inside of your computer, as electrostatic discharge can easily destroy sensitive components. For many laptops, you can access the CMOS battery from a removable panel on the bottom of the laptop. If there is no panel available, you will most likely need to disassemble the laptop to access it. The battery is typically located near your PCI slots, but may be in different locations depending on the manufacturer of your motherboard. It may be hidden by expansion cards and cables. The battery is usually a standard 3V, round, flat watch battery (CR2032). Press and hold the power button on your computer for about 10-15 seconds to discharge any remaining power stored in the capacitors. By discharging the power, the CMOS memory will reset, thereby resetting your BIOS. Carefully reinsert the CMOS battery back into its housing. Make sure that you have put the battery in the right direction. The slightly smaller side should be facing down. Do so carefully, and remember to ground yourself periodically. If you unplugged the computer from the wall and/or removed the battery, plug it back in and/or replace the battery. Depending on your computer, you may have to access the BIOS and reconfigure some of the options, including the default boot option or the date and time.
Question: What is a summary of what this article is about?
Power down your computer. Unplug your computer from any power sources. Remove your computer's battery if necessary. Discharge any static electricity Open your case. Remove the CMOS battery. Press your power button. Reinsert the CMOS battery. Reassemble your computer. Reconnect your computer's power source(s). Turn back on your computer.