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 - 8-5 Factoring x2+bx+c - Practice and Problem-Solving Exercises - Page 517: 57



Work Step by Step

You are given ($r^{3}$$)^{2}$-21$r^{3}$+80.Factor out: ($r^{3}$$)^{2}$-16$r^{3}$-$5r^{3}$+80 -break out the middle number by finding what numbers add up to -21 and multiply to give 80.The numbers are -16 and -5. (($r^{3}$$)^{2}$-16$r^{3}$)+($-5r^{3}$+80) -find the GCD of the first two and last two terms- $r^{3}$($r^{3}$-16)-5($r^{3}$-16) -take ($r^{3}$-16) and factor it out- The factored expression is ($r^{3}$-16)($r^{3}$-5)
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