SOLUTION: Find a third degree polynomial that has x=1 as its only real zero and this zero has: A. Multiplicity one(1) B. Multiplicity three(3)

Question 734414: Find a third degree polynomial that has x=1 as its only real zero and this zero has:
A. Multiplicity one(1)
B. Multiplicity three(3)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Third Degree Polynomial:

A real zero is x=1:

x=1 is the only real zero, and multiplicity is 1:
,
where we want two complex numbers as conjugate pairs. This part is open-ended. For convenience we could pick 1-i and 1+i.

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