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?
x^2
x^2 - 2x - 5 [ x^4 - 2x^3 + kx^2 ]
x^2 - 2x^3 - 5x^2
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(k +5)x^2
k + 5 = 0
k = -5
+1768 
