SOLUTION: Form a polynomial F(x) with real coefficients having the given degree and zeros. Degree 4 ; Zeros: 2-2i; 4 Multiplicity 2 F(x)=a(?)

Question 916425: Form a polynomial F(x) with real coefficients having the given degree and zeros.
Degree 4 ; Zeros: 2-2i; 4 Multiplicity 2
F(x)=a(?)
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
, complex roots occur in conjugate pairs.

The two factors with the complex roots form a quadratic product which you find through just multiplication:

Summarizing F:

Still in factored form. You can multiply and simplify to arrange in general form for a polynomial of sum of terms.
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