Can the graphs of a polynomial of degree 20 and the function $\displaystyle y={1\over x^{40}}$ have exactly 30 points of intersection? Proposed by K. Kokhas
Source: Tuymaada 1999, Q6
Tags: algebra, polynomial, function, calculus, derivative
Can the graphs of a polynomial of degree 20 and the function $\displaystyle y={1\over x^{40}}$ have exactly 30 points of intersection? Proposed by K. Kokhas