Mathegoras

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Degree of numerator for horizontal asymptote

High school · ●○○○○ 10 pts

The graph of the rational function q(x)2x5+x4−7x2+1\frac{q(x)}{2x^5+x^4-7x^2+1} has a horizontal asymptote. What is the largest possible degree of q(x)q(x)?

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rational functionshorizontal asymptotespolynomial degree