If f(x) is a polynomial with real coefficients and zeros of 7 (multiplicity 2), -2 (multiplicity 3), -2+4i, and 5-3i, what is the minimum degree of f(x)?

Answer 1

9 is the minimum degree polynomial

add the multiplicities 2+3 =5.

add the imaginary zeros to get 2, multiply by 2 to get 4, as imaginary zeros always come in conjugate pairs

5+4 = 9 is the minimum degree