Question

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

Answer 1

Answer:

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

Step-by-step 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 $6x^2-13x-5=(2x-5)(3x+1)$

Answer 2

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