PUMaC 2008 · 代数（A 组） · 第 8 题
PUMaC 2008 — Algebra (Division A) — Problem 8
题目详情
- (5 points) Find the polynomial f with the following properties: • its leading coefficient is 1, • its coefficients are nonnegative integers, • 72 | f ( x ) if x is an integer, • if g is another polynomial with the same properties, then g − f has a nonnegative leading coefficient. ( ) p ( x ) 1
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