Answer
(3x+y)(x+y)
Work Step by Step
3$x^{2}$ + 4xy + $y^{2}$
= 3$x^{2}$ + 3xy + xy + $y^{2}$
= 3x(x+y) +y(x+y)
=(3x+y)(x+y)
3$x^{2}$ + 4xy + $y^{2}$ is a composite polynomial
(3x+y) and (x+y) are prime polynomials
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5 - Page 74: 36
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