Asked by Peter Asiedu

Find a polynomial function P of the lowest possible​ degree, having real​ coefficients, a leading coefficient of​ 1, and with the given zeros.
2plus2i​, minus1​, and 2

Answers

Answered by R_scott
if r is a root (zero) , then x-r is a factor

complex roots (containing i) occur in conjugate pairs
... if 2+2i is a root , then 2-2i is also

P(x) = (x - 2 - 2i) (x - 2 + 2i) (x + 1) (x - 2)

multiply the factors to find the 4th order function
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