Question 17How many polynomials of the form $x^5 + ax^4 + bx^3 + cx^2 + dx$ $+ 2020,$ where $a,$ $b,$ $c,$ and $d$ are real numbers, have the property that whenever $r$ is a root, so is $\dfrac{-1 + i\sqrt3}{2}\cdot r?$ (Note that $i = \sqrt{-1}.$)$0$$1$$2$$3$$4$