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: 17



Work Step by Step

Factor out the common term of 3, then factor the resulting trinomial. $3x^2-30x+63=3(x^2-10x+21)$ The first term in each binomial must be x, since $x^2$ has no coefficient. The operation in each binomial must be subtraction, since the trinomial has a positive and a negative term. $-3+(-7)=-10$ and $-3\times(-7)=21$, so the other two terms are -3 and -7.
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