show that i and 3 are the zeroes of the polynomial
4n2+n3 and verify the relationship between zeroes
and coefficient of the polynomial .
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n3 +. 1. (n + 1)3. <. 3. 2. −. 1 n. +. 1. (n + 1)3 . All we need to check is. 3. 2. −. 1 n. +. 1 ... either 2m − 1 or −2m + 1 give a triple whose sum is equal to zero. ... We know that cos(nx) is a polynomial of degree n with integer coefficients in cos(x), ... If n = 2, we have (k1,k2) ∈ {(2,4), (3,3)}, neither of which satisfies the relation.
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