MathDB
no of integer poolynomials 0<= P(x) < 72$ for all xin {0, 1, 2, 3, 4}

Source: 2015 Saudi Arabia Pre-TST 1.2

September 12, 2020
polynomialalgebra

Problem Statement

How many polynomials PP of integer coefficients and degree at most 44 satisfy 0≤P(x)<720 \le P(x) < 72 for all x∈{0,1,2,3,4}x\in \{0, 1, 2, 3, 4\}?
Harvard-MIT Mathematics Tournament 2011
Back to ProblemsView on AoPS