Algebra 2 Common Core

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

Chapter 4 - Quadratic Functions and Equations - 4-6 Complete the Square - Lesson Check: 6

Answer

$x^{2} + 12x + 36$.

Work Step by Step

In the equation $x^{2}$ + $bx$ + $c$, we need to find $c$. To do so we must divide $b$ by $2$. With $b=12$, then $\dfrac{b}{2} = \dfrac{12}{2} = 6$ After $b$ is divided by $2$, square the result to obtain: $\left(\frac{b}{2}\right)^2=6^2=36$ Therefore, the missing term is $36$.
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