## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 9 - Section 9.2 - Solving Quadratic Equations by Completing the Square - Exercise Set - Page 638: 2

#### Answer

$x^2+12x+36 \Rightarrow (x+6)^2$

#### Work Step by Step

The third term of a perfect square trinomial is equal to the square of half the coefficient of the middle term. Hence, to complete the square of the given expression $x^2+12x ,$ the third term must be \begin{array}{l}\require{cancel}\left( \dfrac{12}{2} \right)^2\\\\=\left( 6 \right)^2\\\\= 36 .\end{array} Hence, $x^2+12x+36 \Rightarrow (x+6)^2 .$

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