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Points of Intersection of Two 4th Degree Polynomials

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January 11, 2009
algebrapolynomialfunction

Problem Statement

What is the maximum number of points of intersection of the graphs of two different fourth degree polynomial functions y \equal{} p(x) and y \equal{} q(x), each with leading coefficient 1 1? <spanclass=′latex−bold′>(A)</span> 1<spanclass=′latex−bold′>(B)</span> 2<spanclass=′latex−bold′>(C)</span> 3<spanclass=′latex−bold′>(D)</span> 4<spanclass=′latex−bold′>(E)</span> 8 <span class='latex-bold'>(A)</span>\ 1 \qquad <span class='latex-bold'>(B)</span>\ 2 \qquad <span class='latex-bold'>(C)</span>\ 3 \qquad <span class='latex-bold'>(D)</span>\ 4 \qquad <span class='latex-bold'>(E)</span>\ 8
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