Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.7 Complete the Square - 4.7 Exercises - Skill Practice - Page 288: 14


The trinomial $x^{2}+12x+c$ is a perfect square when $c=36.$ Then $x^{2}+12x+36=(x+6)(x+6)=(x+6)^{2}$

Work Step by Step

$ x^{2}+12x+c\qquad$ ... find half the coefficient of $x$, which is $\displaystyle \frac{12}{2}=6$. $\qquad$ ...square the result. $ 6^{2}=36\qquad$ ...substitute $c$ with $36$ in the original expression $x^{2}+12x+36=(x+6)^{2}$
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