SOLUTION: 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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-> SOLUTION: 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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Question 1150790: 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. Answer by ikleyn(52887) (Show Source):