Polynomial Long Division

Tim the 8th Beaver wants to get past the gatekeeper of the Harvard-Yale football game. The gatekeeper says: "There is a four-digit number $abcd$ such that the polynomial $$x^3 + 9 x^2 + 17 x + 74$$ can be written in the form $$(x^2+ax+b)(x+c) + d.$$ This is a rather secure code, if I do say so myself. You need to know three of the digits to figure out the fourth."