College Algebra

Question

Find a polynomial function of least degree having only real coefficients a leading coefficient of 1 and zeroes of 2 and 2+i

Answer 1

x=2+i

x-2 = i

x^2-4x-4 =-1

x^2-4x-3 = 0

f(x) = (x-2)(x^2-4x-3)

f(x) = x^3 -6x^2 +5x +6