Algebra 2 (1st Edition)

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

Chapter 6 Rational Exponents and Radical Functions - 6.1 Evaluate nth Roots and Use Rational Exponents - 6.1 Exercises - Mixed Review - Page 419: 71

Answer

See below

Work Step by Step

Given: $f(x)=x^3-8x^2+4x-32$ Let $f(x)=0$, $x^3-8x^2+4x-32=0$ Simplify: $x^2(x-8)+4(x-8)=0\\ \Leftrightarrow (x-8)(x^2+4)=0\\ \Leftrightarrow x=8 \lor x=\pm 2i$ Hence, the zeros are $8$ or $2i,-2i$.
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