Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.7 Apply the Fundamental Theorem of Algebra - 5.7 Exercises - Skill Practice - Page 384: 31



Work Step by Step

We need to write down the polynomial $f(x)$ in factored form. $f(x)=(x^3-11x^2+44x-60)(x^2-2x-6)$ $=(x^3-11x^2+44x-60) \times x^2-2x (x^3-11x^2+44x-60)-6 \times (x^3-11x^2+44x-60)$ $=x^5-11x^4+44x^3-60x^2-2x^4+22x^3-88x^2+120x-6x^3+66x^2-264x+360$ $=x^5+(-11x^4-2x^4)+(44x^3+22x^3-6x^3)+(-60x^2-88x^2+66x^2)+(120x-264x)+360$ $=x^5-13x^4+60x^3-82x^2-144x+360$
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