2002 AMC 12A Problems/Problem 25

Problem

The nonzero coefficients of a polynomial $P$ with real coefficients are all replaced by their mean to form a polynomial $Q$. Which of the following could be a graph of $y = P(x)$ and $y = Q(x)$ over the interval $-4\leq x \leq 4$?

Solution

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See Also

2002 AMC 12A (ProblemsAnswer KeyResources)
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Note that p(1)=q(1) and only graph b satisfies this property.