Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 11 - Quadratic Functions and Equations - 11.3 Studying Solutions of Quadratic Equations - 11.3 Exercise Set - Page 718: 54


$$x^3+3x^2-10x=0 $$

Work Step by Step

To write a cubic equation with the given values as solutions, we find the corresponding factors. We then FOIL out the factors to find the original quadratic equation: $$ 0=-\left(x+5\right)\left(x\right)\left(x-2\right) \\ 0=\left(x\right)\left(x^2+3x-10\right) \\ 0=x^3+3x^2-10x $$
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