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 - 8-6 Factoring ax2+bx+c - Practice and Problem-Solving Exercises - Page 521: 23

Answer

4(p+2)(3p-1)

Work Step by Step

You are given $12p^{2}$+20p-8. Factor it out: 4($3p^{2}$+5p-2) -factor out the common factor of 4- 4($3p^{2}$+6p-p-2) -break out the middle value- 4($3p^{2}$+6p)(-p-2) -group the first two and last two terms- 4(3p($p^{2}$+2)-1(p+2) -Find the GCF of each grouping's- 4(p+2)(3p-1) -factor out the common term- =4(p+2)(3p-1)
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