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Given that x^2+5x-14 is a factor of x^4-2x^3-37x^2+kx-168,
evaluate the sum of the four roots of the equation: x^4-2x^3-37x^2+kx-168=0.
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Independently from any other "given" parts of the problem,
the sum of the roots of the equation x^4 - 2x^3 - 37x^2 + kx - 168 = 0 is equal to its coefficient at x^3
taken with the opposite sign, i.e. +2. (Based on the Vieta's theorem)
ANSWER. The sum of the roots of the equation x^4 - 2x^3 - 37x^2 + kx - 168 = 0 is 2.
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