Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set: 9

Answer

$(x-6)(x-6)$

Work Step by Step

The given expression, $ x^2-12x+36 ,$ has $c= 36 $ and $b= -12 .$ The possible factors of $c$ are $ \{ 1,36 \} ,\{ 2,18 \} ,\{ 3,12 \} ,\{ 4,9 \} ,\{ 6,6 \} ,\{ -1,-36 \} ,\{ -2,-18 \} ,\{ -3,-12 \} ,\{ -4,-9 \} ,\{ -6,-6 \}$. Among these factors, the pair whose sum is equal to $b$ is $\{ -6,-6 \}.$ Hence, the factored form is \begin{array}{l}\require{cancel} (x-6)(x-6) .\end{array}
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