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 - Standardized Test Prep: 51

Answer

5r(r+3)($2r^{2}$+1)

Work Step by Step

Given the polynomial $10r^{4}$ + $30r^{3}$ + $5r^{2}$ + 15r We see that the terms have a common factor of 5r so we factor out a 5r. 5r($2r^{3}$ + $6r^{2}$ + r + 3) We take the GCD of the first two and the GCD of the last two terms. 5r ($2r^{2}$(r+3)+1(r+3)) We take (r+3) and factor it out which gives us. 5r(r+3)($2r^{2}$+1)
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