Question

What is the factored form of 6x2 + 11x – 10? (2x + )( x – )

Answer 1

The answer is (2x+5)(3x-2)

Answer 2

The factored form of
`6x^2+11x-10` is
`\left(3x-2\right)\left(2x+5\right)`

Explanation:

To factor the expression
`6x^2+11x-10` you must,

Break the expression into groups

`6x^2+11x-10=\left(6x^2-4x\right)+\left(15x-10\right)`

Factor out
`2x` from
`6x^2-4x`

`6x^2-4x=2x\left(3x-2\right)`

Factor out
`5` from
`15x-10`

`15x-10=5\left(3x-2\right)`

Thus,

`6x^2+11x-10=2x\left(3x-2\right)+5\left(3x-2\right)\\\\\mathrm{Factor\:out\:common\:term\:}3x-2\\\\6x^2+11x-10= \left(3x-2\right)\left(2x+5\right)`