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Write the equation of the polynomial function

Zeros: -1, 2, -3i

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2 Answers

(x + 1)(x - 2)(x + 3i)

= x^3 - 3x^2 - 2x +  3i(x^2 - 3x - 2)

Since -1 is a zero, you know that (x+1) is one of the factors of the polynomial.

Likewise, (x-2) and (x+3i) are also factors.

Multiply the factors to get the polynomial. So (x+1)(x-2)(x+3i) = the polynomial. Just multiply, and combine like terms.