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 - Guided Practice for Example 2 - Page 253: 5

Answer

$$(q-10)(q+10)$$

Work Step by Step

Since the coefficient of the squared term is one, we know that the expression must factor to: $$ (q\pm a)(q\pm b)$$ Here, we see that a and b must multiply to get $-100$ and add to get $0$. Thus, we find that the solution is: $$(q-10)(q+10)$$
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