From the givens, we have
x^4  18x^3 + K x^2 + 200 x  1984 =
(x^2 + A x  32)(x^2 + B x + 62) =
x^4 + (A + B)x^3 + (AB + 30)x^2 + 2(31A  16B)x  1984
Setting the coefficients equal gives
A + B = 18
AB + 30 = K
31A  16B = 100
Solving these gives
A = 4
B = 14
K = 86

Posted by Bractals
on 20060516 18:18:26 