Question

(_+10)(_+-1)= 11x^2+17x-10 in factored form

Answer 1

The factored form will be:

`11x^2+17x-10=\left(11x-5\right)\left(x+2\right)`

Explanation:

Given the expression

`11x^2+17x-10`

Breaking the expression into groups

`=\left(11x^2-5x\right)+\left(22x-10\right)`

• factoring out x from 11x²-5x

11x²-5x = x(11-5)

• factoring out 2 from 22x-10

22x-10 = 2(11x-5)

so the expression becomes

`=x\left(11x-5\right)+2\left(11x-5\right)`

factoring out common term 11x-5

`=\left(11x-5\right)\left(x+2\right)`

Therefore, the factored form will be:

`11x^2+17x-10=\left(11x-5\right)\left(x+2\right)`