[tex]\mathbf{6y^2-7y+2}\\\\\\\dfrac{6(6y^2-7y+2)}{6}\\\\\\\dfrac{(6y)^2-7(6y)+12}{6}\\\\\\\dfrac{(6y-4)(6y-3)}{6}\\\\\\\boxed{(3y-2)\cdot(2y-1)}[/tex]
[tex]\mathbf{8x^2-2x-3}\\\\\\\dfrac{8(8x^2-2x-3)}{8}\\\\\\\dfrac{(8x)^2-2(8x)-24}{8}\\\\\\\dfrac{(8x-6)(8x+4)}{8}\\\\\\\boxed{(4x-3)\cdot(2x+1)}[/tex]
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[tex]\mathbf{6y^2-7y+2}\\\\\\\dfrac{6(6y^2-7y+2)}{6}\\\\\\\dfrac{(6y)^2-7(6y)+12}{6}\\\\\\\dfrac{(6y-4)(6y-3)}{6}\\\\\\\boxed{(3y-2)\cdot(2y-1)}[/tex]
[tex]\mathbf{8x^2-2x-3}\\\\\\\dfrac{8(8x^2-2x-3)}{8}\\\\\\\dfrac{(8x)^2-2(8x)-24}{8}\\\\\\\dfrac{(8x-6)(8x+4)}{8}\\\\\\\boxed{(4x-3)\cdot(2x+1)}[/tex]