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.
