Algebra 2 (1st Edition)

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

Chapter 4 Quadratic Functions and Factoring - 4.3 Solve x(squared) + bx + c = 0 - 4.3 Exercises - Skill Practice - Page 256: 29


-1, -4

Work Step by Step

Since the coefficient of the squared term is one, we know that the expression must factor to: $$ (c\pm a)(c\pm b)$$ Here, we see that a and b must multiply to get $4$ and add to get $5$. Thus, we find that the solution is: $$(c+1)(c+4)$$ Thus, setting each factor equal to zero, we find that the solutions are: $$-1,-4$$
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