Difference between revisions of "1999 AHSME Problems/Problem 12"
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==Problem== | ==Problem== | ||
− | What is the maximum number of points of intersection of the graphs of two different fourth degree polynomial functions <math> y | + | What is the maximum number of points of intersection of the graphs of two different fourth degree polynomial functions <math> y=p(x)</math> and <math> y=q(x)</math>, each with leading coefficient 1? |
<math> \textbf{(A)}\ 1 \qquad \textbf{(B)}\ 2 \qquad \textbf{(C)}\ 3 \qquad \textbf{(D)}\ 4 \qquad \textbf{(E)}\ 8</math> | <math> \textbf{(A)}\ 1 \qquad \textbf{(B)}\ 2 \qquad \textbf{(C)}\ 3 \qquad \textbf{(D)}\ 4 \qquad \textbf{(E)}\ 8</math> |
Revision as of 09:37, 4 December 2015
Problem
What is the maximum number of points of intersection of the graphs of two different fourth degree polynomial functions and , each with leading coefficient 1?
Solution
Since the two graphs are fourth degree polynomials, then they can have at most intersections, giving the answer of .
See Also
1999 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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All AHSME Problems and Solutions |
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