AMC 12B 2020 Problem 17

How many polynomials of the form x^{5}+a x^{4}+b x^{3}+c x^{2}+d x+2020, where a, b, c, and d are real numbers, have the property that whenever r is a root, so is \dfrac{-1+i \sqrt{3}}{2} \cdot r ? (Note that i=\sqrt{-1} )

Answer Choices
A. 0
B. 1
C. 2
D. 3
E. 4