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: 55



Work Step by Step

You are given ($x^{6}$$)^{2}$+12$x^{6}$+35.Factor out: ($x^{6}$$)^{2}$+5$x^{6}$+$7x^{6}$+35 -break out the middle number by finding what numbers add up to 12 and multiply to give 35.The numbers are 5 and 7- (($x^{6}$$)^{2}$+5$x^{6}$)+($7x^{6}$+35) -find the GCD of the first two and last two terms- $x^{6}$($x^{6}$+5)+7($x^{6}$+5) -take ($x^{6}$+5) and factor it out- The factored expression is ($x^{6}$+5)($x^{6}$+7)
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