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: 29



Work Step by Step

Solving the equation using the quadratic formula, we find: $$p_{1,\:2}=\frac{-40\pm \sqrt{40^2-4\cdot \:5\cdot \:75}}{2\cdot \:5} \\ p=-3,\:p=-5$$ Checking by factoring the expression, we find: $$5\left(p^2+8p+15\right) \\ 5\left(p+3\right)\left(p+5\right)$$
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