Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Lesson Check - Page 526: 6


Perfect square, $(k+6)^{2}$.

Work Step by Step

$k^{2}+12k+36=$ ...write the last term as a square. $=k^{2}+12k+(6)^{2}$ ...does middle term equal $2ab$? $12k=2\cdot(k)\cdot(6)$ $=k^{2}+2\cdot(k)\cdot(6)+(6)^{2}$ ...write as the square of a binomial. $=(k+6)^{2}$ Perfect square, $(k+6)^{2}$.
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