P(x) is a polynomial with real coefficients such that P(2+i)=4-3i. There is a linear function Q(x)=ax+b with real coefficients such that Q(2+i)=P(2+i). Find Q(x).

P(x) is a polynomial with real coefficients such that P(2+i)=4-3i. Find P(2-i)

Suppose that P(x) is a polynomial with rational coefficients that has roots at x = 1, x = i, x = sqrt2, and x = 1 + sqrt3. What is the smallest possible degree of P(x)?

somebody Jan 19, 2019