Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 521: 42

Answer

$(p^{2}+q)(m+n^{5})$

Work Step by Step

$mp^{2} + n^{5}p^{2} + qm + qn^{5}$ Group the first two and last two terms together. $(mp^{2} + n^{5}p^{2}) + (qm + qn^{5})$ Factor out the GCF from the first two and last two terms $p^{2}(m+n^{5}) + q(m+n^{5})$ Take the common (m+n^{5}) and factor it out $(p^{2}+q)(m+n^{5})$
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