Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.1 - Addition and Subtraction of Polynomials - Problem Set 5.1 - Page 195: 40

Answer

-3$x^{3}$ + 6$x^{2}$ + x + 1

Work Step by Step

We write an expression to express this problem: (-3$x^{3}$ + 2$x^{2}$ + 7x - 1) - (-4$x^{2}$ + 6x - 2) = Use the distributive property: -3$x^{3}$ + 2$x^{2}$ + 7x - 1 + 4$x^{2}$ - 6x + 2 = Group similar terms. -3$x^{3}$ + (2$x^{2}$ + 4$x^{2}$) + (7x - 6x) + (-1 + 2) = Simplify. -3$x^{3}$ + 6$x^{2}$ + x + 1
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