Question

Factorise : x²+7x+12​

Answer 1

(x + 4)(x + 3)

Step-by-step explanation:

To factorize, I will first look for numbers whose sum is 7 and whose product is 12. These numbers are 4 and 3.

Once the expression is factorized, it will look like this:

(x + ____)(x + _____)

The numbers 3 and 4 go in the blanks:

(x + 4)(x + 3)

∴ answer : (x + 4)(x + 3)

Answer 2

(x+4)(x+3)

Step-by-step explanation:

factorise :

x²+7x+12

Doing middle term factorization

Note : For this

we need to get 7 while adding and 12 while multiplying.

we get when we choose 4 and 3.

we can rewrite the equation as:

x²+(4+3)x+12

opening bracket

x²+4x+3x+12

taking common from each two terms

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

taking common and keeping remaining on bracket

(x+4)(x+3)

which is a requirrd factorization.