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Polynomial And Integer Coefficients (Posted on 2008-06-13) Difficulty: 4 of 5
The polynomial P(y) is given by P(y) = yt + 5yt-1 + 3, where t is a positive integer ≥2.

Prove that P(y) cannot be expressed as the product of two non constant polynomials Q(y) and R(y) with each of Q(y) and R(y) having integer coefficients.

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

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