According to the given data we have the following expression:
15ײ+ 11×-12
In order to factor the expression above we would make the following calculations:
First, break the expression into groups,
So,
15x^2+11x-12=
[tex]\mleft(15x^2-9x\mright)+\mleft(20x-12\mright)[/tex][tex]\mleft(15x^2-9x\mright)+\mleft(20x-12\mright)=3x\mleft(5x-3\mright)+4\mleft(5x-3\mright)[/tex]Finally
[tex]\mathrm{Factor\: out\: common\: term\: }5x-3[/tex]So,
[tex]\begin{gathered} 3x\mleft(5x-3\mright)+4\mleft(5x-3\mright)=\mleft(5x-3\mright)\mleft(3x+4\mright) \\ \text{Therefore, the factor of }15\times^{2}+11\times-12\text{ is }(5x-3)(3x+4) \end{gathered}[/tex]