Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 11 - Probability and Statistics - 11-1 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 680: 63



Work Step by Step

Factoring the $GCF=4,$ the given expression, $ 4x^2-8x+4 ,$ is equivalent to \begin{align*}\require{cancel} & 4(x^2-2x+1) .\end{align*} Using the factoring of trinomials in the form $x^2+bx+c,$ the trinomial expression above has $c= 1 $ and $b= -2 .$ The two numbers with a product of $c$ and a sum of $b$ are $\left\{ -1,-1 \right\}.$ Using these two numbers, the factored form of the expression above is \begin{align*} & 4(x-1)(x-1) \\&= 4(x-1)^2 .\end{align*} Hence, the factored form of the given expression is $ 4(x-1)^2 $.
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