Respuesta :
Answer:
The factor form of the given equation is [tex]6x^2-13x-5=(2x-5)(3x+1)[/tex]
Step-by-step explanation:
Given : Expression [tex]6x^2-13x-5[/tex]
To find : Which expression represents the factored form of given expression?
Solution :
We have given the quadratic equation,
[tex]6x^2-13x-5=0[/tex]
We solve the given quadratic equation by middle term split,
i.e. the multiple of number is 30 and addition is -13,
[tex]6x^2-15x+2x-5=0[/tex]
Taking common to form factor,
[tex]3x(2x-5)+1(2x-5)=0[/tex]
[tex](2x-5)(3x+1)=0[/tex]
Therefore, The factor form of the given equation is [tex]6x^2-13x-5=(2x-5)(3x+1)[/tex]
