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: 32



Work Step by Step

We need to write down the polynomial $f(x)$ in factored form. $f(x)=(x-2)[x-(1+i)][x-(1-i)]$ $=(x-2)(x-1-i)(x-1+i)$ $=(x-2)(x^2-x+xi-x+1-i-xi+i-i^2)$ $=(x-2)(x^2-2x+2)$\ $=x^3-2x^2+2x-2x^2+4x-4$ $=x^3-4x^2+6x-4$
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