## Algebra 1

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 516: 52

#### Answer

a) $4(x+5)(x-5)$ b) $4(x+5)(x-5)$ c) Both of the coefficients are perfect squares, which allows the polynomial to be factored two different ways. d) No. 75 is not a perfect square, so the polynomial cannot be factored as done in part b.

#### Work Step by Step

a) $4x^2-100 = 4(x^2-25) = 4(x+5)(x-5)$ b) $4x^2-100 = (2x+10)(2x-10) = 4(x+5)(x-5)$

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