Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises: 15

Answer

(2z - 5)($7z^{2}$ + 8)

Work Step by Step

$14z^{3} - 35z^{2} + 16z - 40$ Factor by grouping, group the first two terms together. $(14z^{3} - 35z^{2}) + (16z - 40)$ Factor out the common factors from both parenthesis. $7z^{2}$(2z - 5) + 8(2z - 5) We take (2z - 5) and factor it out which gives us. (2z - 5)($7z^{2}$ + 8)
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