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Determine a constant k such that the polynomial P(x, y, z) = x^5 + y^5 + z^5 + k(x^3+y^3+z^3)(x^2+y^2+z^2)

is divisible by x+y+z .

 Jan 18, 2018
 #1
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k = 1/4

 Nov 10, 2019

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