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)
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
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 - Page 441: 45
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