Elementary Algebra

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

Chapter 5 - Exponents and Polynomials - Chapter 5 Test: 10

Answer

$2x^{3}+2x^{2}-19x-21$

Work Step by Step

To find the product of $(x+3)$ and $(2x^{2}-4x-7)$, we need to use the distributive property in which each term of the first polynomial is multiplied to each term of the second polynomial. $(x+3)(2x^{2}-4x-7)$ $=x(2x^{2}-4x-7)+3(2x^{2}-4x-7)$ $=2x^{3}-4x^{2}-7x+6x^{2}-12x-21$ Then, we simplify the resultant expression: $=2x^{3}-4x^{2}-7x+6x^{2}-12x-21$ $=2x^{3}-4x^{2}+6x^{2}-7x-12x-21$ $=2x^{3}+2x^{2}-19x-21$
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