Question

Factorise :
* 6x^2 + 14x + 4

pls provide step by step explanation ​

Answer 1

Answer:

6x^2+12x+2x+4

6x(x+2)+2(x+2)

(x+2)(6x+2)

x= -2,-⅓

Answer 2

Factorise :-

$6 {x}^{2} + 14x + 4$

First arrange terms in descendant order.

Then we must find the product of the first and third term. Then try to split the middle term using the factors of product.

Product :

$6 \times 4 = 24$

Sum :

$2 \times 12 = 24 \\ 2 + 12 = 14$

Splitting the middle term :-

$= 6 {x}^{2} + 14x + 4 \\ = 6 {x}^{2} + 12x + 2x + 4 \\ = 6x(x + 2) + 2(x + 2) \\ = (6x + 2)(x + 2)$

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