if r is a root (zero) , then x-r is a factor
factors ... (x - 2) (x - 2) (x + 3i) (x - 3i)
multiply the factors to form the polynomial
complex roots (with i in them) occur in conjugate pairs ... (x + i) & (x - i)
Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 4; zeros: 2, multiplicity 2; 3i
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