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: 56



Work Step by Step

You are given ($t^{4}$$)^{2}$+5$t^{4}$-24.Factor out: ($t^{4}$$)^{2}$+8$t^{4}$-$3t^{6}$-24 -break out the middle number by finding what numbers add up to 5 and multiply to give -24.The numbers are -3 and 8- (($t^{4}$$)^{2}$+8$t^{4}$)+($-3t^{4}$-24) -find the GCD of the first two and last two terms- $t^{4}$($t^{4}$+8)-3($t^{4}$+8) -take ($t^{4}$+8) and factor it out- The factored expression is ($t^{4}$+8)($t^{4}$-3)
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