# Problem #2250

 2250 The polynomial $x^3 -ax^2 + bx -2010$ has three positive integer roots. What is the smallest possible value of $a$? $\mathrm{(A)}\ 78 \qquad \mathrm{(B)}\ 88 \qquad \mathrm{(C)}\ 98 \qquad \mathrm{(D)}\ 108 \qquad \mathrm{(E)}\ 118$ This problem is copyrighted by the American Mathematics Competitions.
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• Reduce fractions to lowest terms and enter in the form 7/9.
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