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 - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 532: 37

Answer

Split the expression into two trinomials, find the GCF for both, and then factor.

Work Step by Step

Split the expression into two trinomials, find the GCF for both, and then factor. $...=(6x^{5}+12x^{3}+9x)+(4x^{4}+8x^{2}+6)$ $=3x(2x^{4}+6x^{2}+3)+2(2x^{4}+6x^{2}+3)$ .... and factor out the common trinomial $=(2x^{4}+6x^{2}+3)(3x+2)$
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