Question

factorise the following 3x2-×-4​

Answer 1

Answer:

The factorization of 3x2 − x − 4 is (x+1)(3x-4)

Step-by-step explanation:

The given quadratic expression can be factorized by splitting the middle term.

3x2 − x − 4

=> 3x2  + 3x -4x − 4.   (Since, the middle term -x can be split as +3x - 4x)

The middle term should be split in such a way that the product of the split terms is the same as that of the first term and the constant  

Here, (3x)(-4x) = -12 x2 is same as (3 x2)(-4)= -12 x2

⇒ 3x2 − x − 4

= 3x2  + 3x -4x − 4

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

So, 3x2 − x − 4 when factored completely we get (3x-4)(x+1)

Thus, the factorization of 3x2 − x − 4 is (x+1)(3x-4)

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Answer 2

Answer:

$(3x-4)(x+1)$

Step-by-step explanation:

$3x^{2}-x-4\\3x^{2}+3x-4x-4\\3x(x+1)-4(x+1)\\(3x-4)(x+1)$

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