# Difference between revisions of "1999 AHSME Problems/Problem 12"

## Problem

What is the maximum number of points of intersection of the graphs of two different fourth degree polynomial functions $y=p(x)$ and $y=q(x)$, each with leading coefficient 1?

$\textbf{(A)}\ 1 \qquad \textbf{(B)}\ 2 \qquad \textbf{(C)}\ 3 \qquad \textbf{(D)}\ 4 \qquad \textbf{(E)}\ 8$

## Solution

Since the two graphs are fourth degree polynomials, then they can have at most $4$ intersections, giving the answer of $\boxed{D}$.