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: 59



Work Step by Step

Rewrite the given polynomial into $ax^{2}$+Bx+c form to get ($x^{6}$$)^{2}$-19$x^{6}$-120 . Factor out: ($x^{6}$$)^{2}$-24x$^{6}$+$5x^{6}$-120 -break out the middle number by finding what numbers add up to -19 and multiply to give -120.The numbers are -24 and 5. (($x^{6}$$)^{2}$-24$x^{6}$)+($5x^{6}$-120) -find the GCD of the first two and last two terms- $x^{6}$($x^{6}$-24)+5($x^{6}$-24) -take ($x^{6}$+5) and factor it out- The factored expression is ($x^{6}$+5)($x^{6}$-24)
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