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 - Guided Practice for Examples 1 and 2 - Page 285: 4


$c=49$ $(x+7)^{2}$

Work Step by Step

$ x^{2}+14x+c\qquad$ ... find half the coefficient of $x$. $\displaystyle \frac{14}{2}=7$ $\qquad$ ...square the result. $ 7^{2}=49\qquad$ ...replace $c$ with $49$ in the original expression The trinomial $x^{2}+14x+c$ is a perfect square when $c=49.$ Then $x^{2}+14x+49=(x+7)(x+7)=(x+7)^{2}$
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