Question

splitting the middle term​

Answer 1

Step-by-step explanation:

4x²+24+36 after splitting the middle term we get,

4x²+12x+12x+3x

after factorization we get,

(4x+12)(x+3) so these are the factors.....

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Answer 2

Answer:

(x+3)(4x+12)

Step-by-step explanation:

Given a quadratic expression such that,

$4 {x}^{2} + 24x + 36$

To factorise this by middle term splitting method.

We know that,

In middle term splitting method, the middle term is splitted in two terms whose products is equal to the products of the first and third terms.

Therefore, we will get,

$= 4 {x}^{2} + 12x + 12x + 36$

Taking out common terms, we get,

$= 4x(x + 3) + 12(x + 3) \\ \\ = (x + 3)(4x + 12)$

Hence, the factors are (x+3) and (4x+12)