This math team problem is giving me a headache. It is one of 20 problems from the 1999 ICTM State Competition for Algebra II. The students have 50 minutes. I’ve spent hours on this one.
Given, , , Let be the remainder of , the y-intercept of which can be expressed as . Find .
I think there must be part of the remainder theorem I’ve either forgotten or never learned. I’ve backed into the solution1, I just don’t know why I can do it.
1The answer is in comments. I don’t want to ruin anyone’s fun.