## Pages

### Factor Theorem

The Factor Theorem says that
If a function/expression becomes zero at a value 'c' then x - c is a factor of that function/expression.
For example, x^2 - 3x + 2 becomes zero at x = 2:
(2)^2 - 3*(2) + 2 = 4 - 6 + 2 = 0
Thus, by factor theorem, x - 2 is a factor of the expression x^2 - 3x + 2. Another value at which this expression becomes zero is x = 1. Thus x - 1 is also a factor of the expression. Thus, we can write
x^2 - 3x + 2 = (x - 1)(x - 2)