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PolynomialAndEquation MODBasic Challenging

Problem - 4211

Let n be a positive integer not less than 4. Show that there exists a polynomial with integral coefficients f(x)=xn+an1xn1+an2xn2++a1x+a0

such that for any positive integer m and any k2 distinct integers r1, r2, , rk, it always hold that f(m)f(r1)f(r2)f(rk).


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