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: 55

Answer

($x^{6}$ + 5)($x^{6}$ + 7)

Work Step by Step

We write the polynomial ($x^{6}$)$^{2}$ + $12x^{6}$ + 35 *** We break of the middle term into two factors that add to give +12 and multiply to give +35. The two numbers are +5 and +7. ($x^{6}$)$^{2}$ + $5x^{6}$ + $7x^{6}$ + 35 We take the GCD of the first two and the GDC of the last two terms. $x^{6}$($x^{6}$ + 5) + 7 ($x^{6}$ + 5) We take ($x^{6}$ + 5) and factor it out which gives us. ($x^{6}$ + 5)($x^{6}$ + 7)
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