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: 20

Answer

$(x-7)^2$

Work Step by Step

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. $-7+(-7)=-14$ and $-7\times(-7)=49$, so the other two terms are -7 and -7. Since the two binomials contain the same expression they are written with an exponent of 2,
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