Question

Factor completely 3x2 − x − 4.

(3x − 1)(x + 4)

(3x + 4)(x − 1)

(3x − 2)(x + 2)

(3x − 4)(x + 1

Answer 1

Factor completely: 3x2 − x − 4

(3x-4)(x+1) FOIL method

3x2-4x+3x-4
-4x+3x= -1x= -x
3x2 − x − 4

Answer 2

Answer: (3x − 4)(x + 1)

Step-by-step explanation:

Factoring is method to split an expression in simplest form.

Here the given expression is,

`3x^2-x-4`

By middle term splitting,

`=3x^2-4x+3x-4`

`=x(3x-4)+1(3x-4)`

`=(x+1)(3x-4)`

`\implies 3x^2-x-4=(3x-4)(x+1)`

Hence, fourth option is correct.