Question

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

4, -1+6i

Answer 1

Explanation:

f(x) = (x-4)(x+1-6i)(x+1+6i)

= (x-4)((x+1)²-(6i)²)

= (x-4)((x²+2x+1)-(-36))

= (x-4)(x²+2x+37)

= x³-2x²+29x-148