Question

Factorize
x2 + 8x +12​

Answer 1

Answer:

x2 + 6x + 2x + 12

x(x+6)+2(x+6)=0

(x+2)(x+6)=0

x+2=0;x+6=0

x=-2;x=-6

Answer 2

Answer:

On factorizing $x^{2} + 8x +12$ we get factors as , $( x + 6 ) ( x + 2 )$ and value of $x$ as , $x = -6$ or $x = -2$ .

Step-by-step explanation:

To factorize : $x^{2} + 8x +12$

Solution :

• According to question we are asked to factorize  given expression .
• To factorize we split middle term of expression .  
• We spilt the middle term such that product of the numbers is last term and sum or difference of those numbers is middle term.
• Here, $8x$ is the middle term and $12$ is the last term.

       $x^{2} + 8x +12\\\\=x^{2} + 6x + 2x+ 12\\\\ =x( x + 6) + 2 ( x + 6)\\\\= ( x + 6 )( x + 2 )\\\\x = -6 \ or \ x = -2$