Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises: 56

Answer

($t^{4}$ + 8)($t^{4}$ - 3)

Work Step by Step

We write the polynomial $(t^{4})^{2}$ + 5$t^{4}$ - 24 *** We break of the middle term into two factors that add to give +5 and multiply to give -24. The two numbers are +8 and -3. $(t^{4})^{2}$ + 8$t^{4}$ - 3$t^{4}$ - 24 We take the GCD of the first two and the GDC of the last two terms. $t^{4}$($t^{4}$ + 8) -3 ($t^{4}$ + 8) We take ($t^{4}$ + 8) and factor it out which gives us. ($t^{4}$ + 8)($t^{4}$ - 3)
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