Algebra 2 (1st Edition)

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

Chapter 5 Polynomials and Polynomial Functions - 5.5 Apply the Remainder and Factor Theorems - 5.5 Exercises - Problem Solving - Page 367: 42


$2$ million.

Work Step by Step

We use the fact that $x=3$ is a solution (i.e. by the factor theorem $x-3$ is a factor). Our equation is: $48=-4x^3+12x^2+16x\\0=-4x^3+12x^2+16x-48=(x-3)\cdot-4(x^2-4)=-(x+2)(x-2)(x-3)$ We know that $x\gt0$ and $x\ne3$, thus $x=2$.
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