Mathinity and Golden Math are playing a game. The two players take turns to fill in the blanks with real numbers in the following polynomial. Each player fill exactly one blank on each turn, and they can pick any unfilled blank to fill (not necessarily fill them from left to right). Mathinity goes first. $x^{69}+$______ $x^{68} +$ _______ $x^{67} + ...+$_____ $x+$_________ After all the blanks are filled, if the resulted polynomial has at least $3$ distinct real roots, then Mathinity wins. Else, Golden Math wins. Who has a winning strategy? (by XDitto#0165)