Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises - Page 34: 83

Answer

$x^{2}+12x+36=(x+6)^{2}$

Work Step by Step

$x^{2}+12x+36$ This expression is a perfect square trinomial. To factor it, we just form a parentheses with the square root of the first term and the square root of the third term. Between them, we put the sign of second term in the trinomial and finally, we square the parentheses. $x^{2}+12x+36=(x+6)^{2}$
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