For coprime P, Q over a field, X·R·P = N·Q with R ≠ 0, deg R ≤ 2, deg N ≤ 3 is solvable iff max(deg P, deg Q) ≤ 2, or Q(0) = 0 and the max is ≤ 3

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For coprime P, Q over a field, X·R·P = N·Q with R ≠ 0, deg R ≤ 2, deg N ≤ 3 is solvable iff max(deg P, deg Q) ≤ 2, or Q(0) = 0 and the max is ≤ 3 · Prove2Me