Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.2 - Multiplying Polynomials - Exercise Set - Page 359: 83

Answer

$2x^{4}+9x^{3}+6x^{2}+11x+12$

Work Step by Step

$ \begin{array}{lllllll} & & & 2x^{3} & +x^{2} & +2x & +3\\ & & & & & x & +4\\ & & & & -- & -- & --\\ & & & 8x^{3} & +4x^{2} & +8x & +12\\ & & 2x^{4} & +x^{3} & +2x^{2} & +3x & \\ \hline & & & & & & \\ & & 2x^{4} & +9x^{3} & +6x^{2} & +11x & +12 \end{array} \qquad \begin{array}{l} .\\ .\\ .\\ \leftarrow 4(2x^{3}+x^{2}+2x+3)\\ \leftarrow x(2x^{3}+x^{2}+2x+3)\\ \\ \leftarrow\text{combine } \end{array}$
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