Prove that if the product of two integers qs is odd, then q2 + s2 is even. Then show that for integers q and s, (q - 3)s2 is even if and only if q is odd or s is even.
Prove that if the product of two integers qs is odd, then q2 + s2 is even. Then show that for integers q and s, (q - 3)s2 is even if and only if q is odd or s is even.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 74E
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Prove that if the product of two integers qs is odd, then q2 + s2 is even.
Then show that for integers q and s, (q - 3)s2 is even if and only if q is odd or s is even.
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