Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.5 - A General Factoring Strategy - Exercise Set - Page 462: 36



Work Step by Step

$ 2y^{4}+28y^{3}+98y^{2}\qquad$...factor out the GCF, $2y^{2}$. $=2y^{2}(y^{2}+14y+49)\qquad$...recognize a perfect square trinomial. $(A\pm B)^{2}=A^{2}\pm 2AB+B^{2}$; $A=y,\ B=7$ $=2y^{2}(y+7)^{2}$
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