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: 29

Answer

$(3x-5)(2x-1)$

Work Step by Step

For the polynomial $$ 6x^2 -13x +5 $$ we check the factors of $ac=6(5)=30$. The only factors that can give the right middle term are $-3$ and $-10$, as follows $$ 6x^2 -13x +5=(3x-5)(2x-1) .$$
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