Algebra 2 (1st Edition)

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

Chapter 4 Quadratic Functions and Factoring - 4.8 Use the Quadratic Formula and the Discriminant - 4.8 Exercises - Skill Practice - Page 296: 25

Answer

$$s=3,\:s=-1$$

Work Step by Step

Solving the equation using the quadratic formula, we find: $$s_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\left(-3\right)}}{2\cdot \:1} \\ s=3,\:s=-1$$ Checking by factoring the expression, we find: $$s\left(s+1\right)-3\left(s+1\right)\\ \left(s+1\right)\left(s-3\right)$$
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