Share

# Factorisation - Factors of the Form ( x + a) ( x + b)

#### notes

Let us now discuss how we can factorise expressions in one variable, like x^2 + 5x + 6, y^2 – 7y + 12,  z^2 – 4z – 12, 3m^2 + 9m + 6, etc.
Observe that these expressions are not of  the type (a + b)^2 or (a – b)^2, i.e., they are not perfect squares.
In general, for factorising an algebraic expression of the type
x^2 + px + q, we find two factors a and b of q (i.e., the constant term) such that
ab = q    and     a + b = p
Then, the expression becomes  x^2 + (a + b) x + ab
or x^2 + ax + bx + ab
or x(x + a) + b(x + a)
or (x + a) (x + b)             which are the required factors.

### Shaalaa.com

Factors of the Form (x+a) (x+b) [00:06:00]
S
0%

S