Question

Find the function p defined by a polynomial of degree 3 with real coefficients that satisfy the given condition. two of the zeros are 4 and 1+i

Answer 1

The third zero is 1 - i These two complex numbers always come in pairs. If you have one, you always have the other.

y = (x - 4)(x - i)(x + i)
y = (x - 4)(x^2 + 1)
y = x^3 - 4x^2 + x - 4