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Algebra Level pending

For what value of k k is 235 x 2 + 1057 x y + k y 2 -235{ x }^{ 2 }+1057xy+k{ y }^{ 2 } divisible by x y x-y ?


The answer is -822.

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1 solution

Bill Bell
Jun 16, 2015

The polynomial is homogeous (all terms contain instances of the formal variables). The coefficients must sum to zero for it to be divisible by x y x-y .

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