Write a polynomial of least degree

Question

Write a polynomial of least degree with integer coefficients that has the given zeros.Leave your answer in factored form, but make sure there are no irrational or imaginary values.

Answer 1

x=2+sqr11

x-2 = sqr11

x^2-4x +4 = 11

x^2-4x-7 = 0

(x-6)(x^2-4x-7) = x^3-10x^2-31x+42 has 3 zeroes, 6 and the conjugate pair 2+sqr11 and 2-sqr11