Question

Which expression represents the factored form of 6x2-13x-5?

Answer 1

the anwser would be (2x-5)(3x+1).

Answer 2

The factor form of the given equation is
`6x^2-13x-5=(2x-5)(3x+1)`

Explanation:

Given : Expression
`6x^2-13x-5`

To find : Which expression represents the factored form of given expression?

Solution :

We have given the quadratic equation,

`6x^2-13x-5=0`

We solve the given quadratic equation by middle term split,

i.e. the multiple of number is 30 and addition is -13,

`6x^2-15x+2x-5=0`

Taking common to form factor,

`3x(2x-5)+1(2x-5)=0`

`(2x-5)(3x+1)=0`

Therefore, The factor form of the given equation is
`6x^2-13x-5=(2x-5)(3x+1)`