Art of Problem Solving

AoPS Online

2010 AMC 10A Problems/Problem 21

Revision as of 10:41, 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 \…')

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

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

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

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2010_AMC_10A_Problems/Problem_21&oldid=36027"

© 2024 AoPS Incorporated