Difference between revisions of "2002 AMC 12A Problems/Problem 25"

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

Revision as of 19:52, 4 July 2010

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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