Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.4 - Factoring Trinomials of the Form ax2+bx+c by Grouping - Exercise Set: 45

Answer

$p^{2}$(15p+q)(p+2q)

Work Step by Step

15$p^{4}$ +31$p^{3}$q+2$p^{2}$$q^{2}$= $p^{2}$(15$p^{2}$+31pq+2$q^{2}$)= $p^{2}$(15$p^{2}$+30pq+pq+2$q^{2}$)= $p^{2}$[15p(p+2q)+q(p+2q)]= $p^{2}$(15p+q)(p+2q)
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