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ASU 016 All Russian MO 1962 8.4 polynomial integer

Source:

June 17, 2019
algebrapolynomial

Problem Statement

Prove that there are no integers a,b,c,da,b,c,d such that the polynomial ax3+bx2+cx+dax^3+bx^2+cx+d equals 11 at x=19x=19, and equals 22 at x=62x=62.
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