Answer:
The factored form will be:
[tex]11x^2+17x-10=\left(11x-5\right)\left(x+2\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]11x^2+17x-10[/tex]
Breaking the expression into groups
[tex]=\left(11x^2-5x\right)+\left(22x-10\right)[/tex]
11x²-5x = x(11-5)
22x-10 = 2(11x-5)
so the expression becomes
[tex]=x\left(11x-5\right)+2\left(11x-5\right)[/tex]
factoring out common term 11x-5
[tex]=\left(11x-5\right)\left(x+2\right)[/tex]
Therefore, the factored form will be:
[tex]11x^2+17x-10=\left(11x-5\right)\left(x+2\right)[/tex]
