Elementary Technical Mathematics

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

Chapter 10 - Section 10.6 - Factoring General Trinomials - Exercise - Page 356: 21

Answer

$(3x-7)(x+9)$

Work Step by Step

For the polynomial $$ 3x^2 +20x -63 $$ we check the factors of $ac=3(-63)=-189$. The only factors that can give the right middle term are $-7$ and $27$, as follows $$ 3x^2 +20x -63 =(3x-7)(x+9) .$$
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