Mathematics: n to the fourth power plus 4

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Wednesday, May 6, 2015

n to the fourth power plus 4

Can you factor n^4 + 4 If n = 1, then n^4 +4 = 1 + 4 = 5 = 1 * 5 if n = 2, then n^4 + 4 = 16 + 4 = 20 = 2 * 10 if n = 3, then n^4 + 4 = 81 + 4 = 5 * 17 If n^4 + 4 factors into two quadratic polynomials, p1 and p2, then we could require that p1(1) = 1 p1(2) = 2 p1(3) = 5 p2(1) = 5 p2(2) = 10 p2(3) =... Sign in to see full entry.

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