Roots of a Polynomial

To determine the roots (x-intercepts or zeros) set each binomial equal to zero. The root's behavior (touches or passes based on their multiplicity) is based on whether the  multiplicity is odd or even. If the multiplicity is even it bounces at the root and if the multiplicity is odd it passes at the root.

Graphically, the roots of an equation represent where the line hits the x-axis. Algebraically, the roots of an equation represent what the value of x is when the equation is equal to zero.

Example 1:

Zeros	-3	-1	1
Multiplicity	2 Even	1 Odd	3 Odd
Behavior	Touches	Passes Through	Passes Through

Example 2:

Zeros	-1	2	3
Multiplicity	2 Even	1 Odd	3 Odd
Behavior	Touches	Passes Through	Passes Through

Example 3: