Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-5 Factoring x2+bx+c - Practice and Problem-Solving Exercises - Page 516: 40

Answer

(p+8q)(p+3q)

Work Step by Step

You are given $p^{2}$+11pq+$24q^{2}$.Factor out the expression: $p^{2}$+8pq+3pq+$24q^{2}$ -break out the middle term- ($p^{2}$+8pq)+(3pq+$24q^{2}$)-group the first two and last two terms- p(p+8q)+3q(p+8q) -find the GCD of the terms- (p+8q)(p+3q) -group each terms since you have (p+8q) in common- The simplified expression is (p+8q)(p+3q)
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