Question

Factor this trinomail completely 15ײ+ 11×-12

Answer 1

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=

`\mleft(15x^2-9x\mright)+\mleft(20x-12\mright)`
`\mleft(15x^2-9x\mright)+\mleft(20x-12\mright)=3x\mleft(5x-3\mright)+4\mleft(5x-3\mright)`

Finally

`\mathrm{Factor\: out\: common\: term\: }5x-3`

So,

`\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*^(2)+11*-12​\text{ is }(5x-3)(3x+4) \end{gathered}`