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 533: 51



Work Step by Step

$10r^{4}+30r^{3}+5r^{2}+15r=$ ...factor out the GCF: $10r^{4}=2\cdot(5)\cdot(r)\cdot r\cdot r\cdot r$ $30r^{3}=2\cdot 3\cdot(5)\cdot(r)\cdot r\cdot r$ $5r^{2}=(5)\cdot(r)\cdot r$ $15r=3\cdot(5)\cdot(r)$ GCF: $5r$ $=5r(2r^{2}+6r+r+3)$ ...factor by grouping. $=5r[2r(r+3)+1(r+3)]$ ...factor again. $=5r(2r+1)(r+3)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.