Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 502: 31



Work Step by Step

Given: (x+5)($x^{2}$-3x+1) Distributive property: x($x^{2}$-3x+1)+5($x^{2}$-3x+1) Distribute common factors to terms inside parenthesis: (x)($x^{2}$)+(x)(-3x)+(x)(1)+(5)($x^{2}$)+(5)(-3x)+(5)(1) Simplify: $x^{3}$-3$x^{2}$+x+5$x^{2}$-15x+5 Combine like terms: $x^{3}$+(5$x^{2}$-3$x^{2}$)+(-15x+x)+5 Simplify: $x^{3}$+2$x^{2}$-14x+5
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