Answer: (3x − 4)(x + 1)
Step-by-step explanation:
Factoring is method to split an expression in simplest form.
Here the given expression is,
[tex]3x^2-x-4[/tex]
By middle term splitting,
[tex]=3x^2-4x+3x-4[/tex]
[tex]=x(3x-4)+1(3x-4)[/tex]
[tex]=(x+1)(3x-4)[/tex]
[tex]\implies 3x^2-x-4=(3x-4)(x+1)[/tex]
Hence, fourth option is correct.
