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: 58

Answer

($m^{5}$ + 17)($m^{5}$ + 1)

Work Step by Step

We write the polynomial $(m^{5})^{2}$ + 18$m^{5}$ + 17 *** We break of the middle term into two factors that add to give +18 and multiply to give +17. The two numbers are +17 and +1. $(m^{5})^{2}$ + 17$m^{5}$ + 1$m^{5}$ + 17 We take the GCD of the first two and the GCD of the last two terms. $m^{5}$($m^{5}$ + 17) + 1 ($m^{5}$ + 17) We take ($m^{5}$ + 17) and factor it out which gives us. ($m^{5}$ + 17)($m^{5}$ + 1)
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