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: 60



Work Step by Step

You are given ($p^{63}$$)^{2}$+14$p^{3}$-72.Factor out: ($p^{3}$$)^{2}$+18$p^{3}$-$4p^{3}$-72 -break out the middle number by finding what numbers add up to 14 and multiply to give -72.The numbers are -4 and 18. (($p^{3}$$)^{2}$+18$p^{3}$)-($4p^{3}$-72) -find the GCD of the first two and last two terms- $p^{3}$($p^{3}$+18)-4($p^{3}$+18) -take ($p^{3}$+18) and factor it out- The factored expression is ($p^{3}$-4)($p^{3}$+18)
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