## Algebra 1

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises: 37

#### Answer

$2x^{4}(3x+2) +4x^{2}(3x+2) + 3(3x+2)$

#### Work Step by Step

a) $6x^{5} + 4x^{4} + 12x^{3} + 8x^{2} + 9x + 6$ Group the first two terms, middle two terms and last two terms together $(6x^{5} + 4x^{4}) + (12x^{3} + 8x^{2}) + (9x + 6)$ Factor out the GCF from the first two terms, middle two terms and last two terms $2x^{4}(3x+2) +4x^{2}(3x+2) + 3(3x+2)$

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