Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Standardized Test Prep: 60

Answer

$(2x-5)^{2}$

Work Step by Step

Given the polynomial $4x^{2}$ - 20x + 25 We rewrite it so that the first and last terms are squared. $(2x)^{2}$ - 20x + $(5)^{2}$ We see that the polynomial has the first and last term squared and the middle term is -2 times the first and last term. Thus it follows the rule of $a^{2}$ - 2ab + $b^{2}$ = $(a-b)^{2}$ In this polynomial a= 2x and b=5 $(2x)^{2}$ - 2(2x)(5) + $(5)^{2}$ = $(2x-5)^{2}$
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