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 - Practice and Problem-Solving Exercises - Page 238: 60

Answer

$k=12$

Work Step by Step

Recall: $a^2+2ab+b^2=(a+b)^2$ Find $a$ by taking the principal square root of the first term to obain: $\sqrt{9x^2}=3x$ Find $b$ by taking the principal square root of the last term to obtain: $b=\sqrt{4}=2$ Thus, the middle term of the given trinomial is: $=2(3x)(2)\\ =12x$ Thus, $k=12$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.