Question

Factor completely 3x2 − x − 4.

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.