Factoring Polynomials
Definition of Factoring a Polynomial
To factor means to write a quantity or an expression as a product.
To factor a whole number, such as 12, we write it as a product of whole
numbers. For example:
12 = 2 Â· 6
12 = 2 Â· 2 Â· 3
To factor a polynomial, such as x^{2} + 5x, means to write it as a product of
polynomials: x^{2} + 5x = x(x + 5).
We say x(x + 5) is the factorization of x^{2} + 5x.
Multiply 
Factor 
3 Â· 5
2 Â· 3 Â· 3
5x(6x + 7)
(w + 6)(w  5) 
= 15 = 18
= 30x^{2} + 35x
= w^{2} + w  30 
15
18
30x^{2} + 35x
w^{2} + w  30 
= 3 Â· 5
= 2 Â· 3 Â· 3
= 5x(6x + 7)
= (w + 6)(w  5) 
