Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.1 Polynomials - R.1 Exercises: 18

Answer

$(k+2)(12k^{3}-3k^{2}+k+1)=12k^{4}+21k^{3}-5k^{2}+3k+2$

Work Step by Step

$(k+2)(12k^{3}-3k^{2}+k+1)$ Evaluate the product indicated by multiplying the first and second terms of the first factor by every element in the second factor separately: $(k+2)(12k^{3}-3k^{2}+k+1)=...$ $...=12k^{4}-3k^{3}+k^{2}+k+24k^{3}-6k^{2}+2k+2=...$ Simplify by combining like terms: $...=12k^{4}+21k^{3}-5k^{2}+3k+2$
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