SOLUTION: Find a degree 3 polynomial with coefficient of x^3 equal to 1 and zeros -1, -4 i and 4 i.

Question 997365: Find a degree 3 polynomial with coefficient of x^3 equal to 1 and zeros -1, -4 i and 4 i.
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The factors are the conjugate of the roots
(x+1) and (x^2+16)
Set each of them equal to zero, and the roots are -1,4i, -4i
The polynomial is x^3+x^2+16x+16

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a degree polynomial with coefficient of equal to

if given zeros , and , we will use zero product formula
....plug in given values

.....recall,
....since , we have

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