There exists a polynomial f(x) and a constant k such that (x^2 - 2x - 5) f(x) = x^4 - 2x^3 + kx^2 What is k?
Poltnomial division
x^2
x^2 - 2x -5 [ x^4 -2x^3 + kx^2 ]
x^4 - 2x^3 -5x^2
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k - -5 = 0
k + 5 = 0
k = -5