Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise - Page 350: 16

Answer

$(c-3)(c-6)$

Work Step by Step

The first term in each binomial must be c, since $c^2$ has no coefficient. The operation in each binomial must be subtraction, since the trinomial has a positive and a negative term. $-3+(-6)=-9$ and $-3\times(-6)=18$, so the other two terms are -3 and -6. Since the two binomials contain the same expression they are written with an exponent of 2,
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