## College Algebra (6th Edition)

Published by Pearson

# Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5: 37

#### Answer

The factors of given polynomial [6$x^{2} - 5xy - 6y^{2}] = (3x+2y)(2x-3y)$

#### Work Step by Step

The given polynomial = 6$x^{2}$ - 5$xy$ - 6$y^{2}$ = 6$x^{2}$ - 9$xy$ + $4xy$ - 6$y^{2}$ = $3x(2x-3y) +2y(2x-3y)$ = $(3x+2y)(2x-3y)$ 6$x^{2}$ - 5$xy$ - 6$y^{2}$ is a composite polynomial $(3x+2y)$ and $(2x-3y)$ are prime factors of polynomial.

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