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: 10

Answer

$(y+9)^2$

Work Step by Step

The first term in each binomial must be y, since $y^2$ has no coefficient. The operation in each binomial must be addition, since each term in the trinomial is positive. $9+9=18$ and $9\times9=81$, so the other two terms are 9 and 9. Since the two binomials contain the same expression they are written with an exponent of 2,
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