Algebra+ 06: UNIZOR.COM - Math+ &Problems - Algebra
Channel: Zor Shekhtman on UNIZOR Education
Date: 2024-04-06

UNIZOR.COM - Creative Mind through Art of Mathematics
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Algebra+ 06

Problem A
Prove that sum of square roots of 2, 3 and 5 is an irrational number.

Problem B
Given a polynomial represented as a product
P = (5−4x)^1000·(3x−4)^1001
Assume, we open all the parenthesis and combine all similar terms to express this polynomial in a canonical form
P = Σi∈[0,2001]Ai·x^(2001−i)
What would be a sum of all the coefficients Ai?

Problem C
Find all prime integer x and y, for which the following is true
13·(x + y) = 3·(x² − x·y + y²)