48th Putnam 1987 Problem A4 p(x, y, z) is a polynomial with real coefficients such that: (1) p(tx, ty, tz) = t 2 f(y - x, z - x) for all real x, y, z, t (and some function f); (2) p(1, 0, 0) = 4, p(0 ,1, 0) = 5, and p(0, 0, 1) = 6; and (3) p(α, β, γ) = 0 for some complex numbers α, β, γ such that |β - α| = 10. Find |γ - α|.