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Polynomial Roots

Source: 1984 USAMO #1

August 11, 2009
algebrapolynomialAMCUSAMO

Problem Statement

The product of two of the four roots of the quartic equation x4−18x3+kx2+200x−1984=0x^4 - 18x^3 + kx^2+200x-1984=0 is −32-32. Determine the value of kk.
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