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P(x) is a monic cubic polynomial with all coefficients positive integers. Also for all integers n, P(n) is a multiple of m.

What is the largest value of m?
(No Solution Yet, 2 Comments) Submitted on 2016-05-01 by Brian Smith   
Difficulty: 2 of 5 Bonus: A Vanishing Polynomial Problem (in Calculus) Rating: 2.00
A cubic polynomial M(x) is such that M(-2)=0, and has relative extremes at x=-1 and x=1/3.

Determine M(x) given that ∫-11M(x)dx= 14/3.

(Solution Posted, 2 Comments) Submitted on 2007-01-17 by K Sengupta   
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