Question

6 X square + 17 X + 12 factorise​

Answer 1

Answer:

(2x+3)(3x+4)

Step-by-step explanation:

Given a quadratic expression such that

$6 {x}^{2} + 17x + 12$

We have to factorise this.

This type of factorisation is done by middle term splitting method.

In middle term splitting method, we have to split middle term in two terms such that their products is equal to the product of first and last term.

Therefore, we will get,

$= 6 {x}^{2} + 9x + 8x + 12 \\ \\ = 3x(2x + 3) + 4(2x + 3) \\ \\ = (2x + 3)(3x + 4)$

Hence, the factors are (2x+3) and (3x+4).