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To determine the roots you must find the value of x that will make each binomial equal to zero.

To determine the roots behavior you must find the multiplicity and see if it is even or odd.
If the roots multiplicity is even then the line will bounce back like a parabola. If the roots multiplicity is odd then the line will pass through like a sin curve.

Zeros -3 -1 1
Multiplicity 2 even 1 odd 3 odd
Behavior Touches Passes Thru Passes Thru

Zeros -1 2 3
Multiplicity 2 even 1 odd 3 odd
Behavior Touches Passes Thru Passes Thru

Zeros 5 -2 1 -4
Multiplicity 4 even 5 odd 3 odd 4 even
Behavior Touches Passes Thru Passes Thru Touches