SOLUTION: describe how to find the polynomial from the following roots: 0,0,3,-3 step by step

Question 1068311: describe how to find the polynomial from the following roots: 0,0,3,-3
step by step
Found 2 solutions by Fombitz, Boreal:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The roots mean that the polynomial has factors,

Substitute for the values of a,b,c,d.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
root of 0 is factor x.
When there are two roots of 0, the factor is x^2
root of 3 means factor (x-3), because x-3=0 gives root 3
root of -3 means factor (x+3)
(x+3)(x-3)x^2 are the factors
x^2(x^2-9)=0;
x^4-9x^2=0
Note, a repeated root "bounces" off the x-axis.

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