Polynomial NT
Number Theory
Level
4
Compute the degree of the least common multiple of the polynomials This is not original.
The answer is 32.
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1 solution
(x - 1)(x + 1)(x^2 + 1)(x^2 - x + 1)(x^2 + x + 1)(x^4 + 1)(x^4 - x^3 + x^2 - x + 1)(x^4 + x^3 + x^2 + x + 1)(x^6 + x^3 + 1)(x^6 + x^5 + x^4 + x^3 + x^ 2 + x + 1)
1 + 1 + 2 + 2 + 2 + 4 + 4 + 4 + 6 + 6 = 32