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: 36

Answer

a) $(4x-1)(5x^{2}+11)$ b) $(4x-1)(5x^{2}+11)$

Work Step by Step

a) $20x^{3} - 5x^{2} + 44x - 11$ Group the first two terms and last two terms together $(20x^{3} - 5x^{2}) + (44x - 11)$ Factor out the GCF from the first two terms and last two terms $5x^{2}( 4x-1) +11( 4x-1)$ Take out (4x-1) common factor and that gives us $(4x-1)(5x^{2}+11)$ b) By adding the second set of polynomials we see that we end up with the same polynomial $20x^{3} - 5x^{2} + 44x - 11$ Group the first two terms and last two terms together $(20x^{3} - 5x^{2}) + (44x - 11)$ Factor out the GCF from the first two terms and last two terms $5x^{2}( 4x-1) +11( 4x-1)$ Take out (4x-1) common factor and that gives us $(4x-1)(5x^{2}+11)$
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