example:
Factorize, x^{2}+7x+12.
Solution:
Given that, x^{2}+7x+12.
7x is to be written as the sum of two terms such that the product of their
coefficient is 12.
7x = 3x+4x
= 3*4 = 12
Therefore, x^{2}+(3x+4x)+12
(x^{2}+3x)+(4x+12)
Take x as common, we get
x(x^{2}+3)+(4x+12)
Take 4 as common, we get
= x(x+3)+4(x+3)
Take (x+3) as common, we get
= (x+4)(x+3)
Directions: Solve the following problems. Also write at least ten examples of your own.
