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2010 AMC 10A Problems/Problem 21

Revision as of 09:41, 11 November 2010 by Yaofan (talk | contribs) (Created page with '==Problem== The polynomial <math>x^3-ax^2+bx-2010</math> has three positive integer zeros. What is the smallest possible value of <math>a</math>? <math>\textbf{(A)}\ 78 \qquad \…')

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Problem

The polynomial $x^3-ax^2+bx-2010$ has three positive integer zeros. What is the smallest possible value of $a$ ?

$\textbf{(A)}\ 78 \qquad \textbf{(B)}\ 88 \qquad \textbf{(C)}\ 98 \qquad \textbf{(D)}\ 108 \qquad \textbf{(E)}\ 118$

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