College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.5 - Factoring Polynomials - R.5 Exercises: 90

Answer

$(x+6)^2$

Work Step by Step

RECALL: A trinomial of the form $x^2+bx+c$ can be factored if there are integers $d$ and $e$ such that $c=de$ and $b=d+e$. The trinomial's factored form will be: $x^2+bx+c=(x+d)(x+e)$ The given trinomial has $b=12$ and $c=36$. Note that $36=6(6)$ and $12= 6+6$. This means that $d=6$ and $e=6$. Thus, the factored form of the trinomial is: $(x+6)(x+6)=(x+6)^2$
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