SOLUTION: This one is also from my worksheet... I appreciate any help. : ) Write a polynomial of least degree which has the indicated zeros. -1,6i,-6i

Question 35897: This one is also from my worksheet... I appreciate any help. : )
Write a polynomial of least degree which has the indicated zeros.
-1,6i,-6i
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
If the generating polynomial has three zeros, then it must be a third-degree polynomial, right?
Remember how you find the zeros? You set the factors equal to zero and solve for the variable.
Ex. (x-6i) is a factor, set x-6i = 0, so x = 6i
If 6i is a zero, then x-6i is a factor.
If -6i is a zero, then x+6i is a factor.
If -1 is a zero, then x+1 is a factor.
Now to get the polynomial back, you need to multiply the three factors.
= =
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