Polynomial function

Question

Write a polynomial function with rational coefficients, leading coefficient of 1, and zeros 2, -3, -3i

Answer 1

change the sign of each zero

then add it to x to get the factors of the polynomial

(x-2)(x+3i)(x-3i) Multiply the 2 factors with the imaginary zeroes

(x-2)(x²+9) Multiply these two factors to get the polynomial with lead coefficient = 1

x³ -2x² +9x - 18