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: 58



Work Step by Step

You are given ($m^{5}$$)^{2}$+18$m^{5}$+17.Factor out: ($m^{5}$$)^{2}$+17m$^{5}$+$1m^{3}$+17 -break out the middle number by finding what numbers add up to 18 and multiply to give 17. The numbers are 17 and 1. (($m^{5}$$)^{2}$+17$m^{5}$)+($m^{5}$+17) -find the GCD of the first two and last two terms- $m^{5}$($m^{5}$+17)+1($m^{5}$+17) -take ($m^{5}$+17) and factor it out- The factored expression is ($m^{5}$+17)($m^{5}$+1)
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