In this topic, you will solve polynomial equations set to equal 0. This can also be called finding the roots or zeros.
The zero or root of a polynomial P(x) is a value that makes P(x) = 0.

x² - 6x + 8
When x = 2 or x = 4, the polynomial equals 0.
So 2 and 4 are zeros or roots of the polynomial.

Example 1:

Factor the expression and solve for the zeros. Write answers in ascending order, separated by commas. Example: x=-3/2,2;
3x³ - 6x² - 9x = 0
x =

1.   Factor the polynomial.

	3x3 - 6x2 - 9x	=	0
	3x(x2 - 2x - 3)	=	0
	3x(x + 1)(x - 3)	=	0

2.   Set each factor to equal 0 and solve.

3x = 0 x = 0   x + 1 = 0 x = -1   x - 3 = 0 x = 3

So the answer is x =