Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.5 - Multiplication of Polynomials - Exercise - Page 225: 8

Answer

$$3yx+2y^3+4y^2. $$

Work Step by Step

By multiplying each term of the polynomial by the monomial, and then adding the products, we have $$y(3x+2y^2+4y)=y(3x)+y(2y^2)+y(4y))\\ =3yx+2y^3+4y^2. $$
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