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: 84

Answer

$ 3y^{4}+11y^{3}+7y^{2}+7y+12 $

Work Step by Step

$ \begin{array}{cccccccc} & & & 3y^{3} & +2y^{2} & +y & +4\\ & & & & & y & +3\\ & & & & -- & -- & --\\ & & & 9y^{3} & +6y^{2} & +3y & +12\\ & & 3y^{4} & +2y^{3} & +y^{2} & +4y & \\ \hline & & & & & & \\ & & 3y^{4} & +11y^{3} & +7y^{2} & +7y & +12 \end{array} \qquad \begin{array}{l} .\\ .\\ .\\ \leftarrow 3(3y^{3}+2y^{2}+y+4)\\ \leftarrow y(3y^{3}+2y^{2}+y+4)\\ \\ \leftarrow\text{combine } \end{array}$
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