## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set: 63

#### Answer

$9x^6+15x^4+3x^2+1$

#### Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the expression, $(3x^4+1)(3x^2+5)$, is equivalent to \begin{array}{l} 3x^4(3x^2)+3x^4(5)+1(3x^2)+1(5) \\\\= 9x^6+15x^4+3x^2+1 .\end{array}

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