There exists a polynomial f(x) and a constant k such that
(x^2 - 2x - 5) f(x) = 2x^4 - 4x^3 + kx^2. What is k?
2x^2
x^2 - 2x -5 [ 2x^4 - 4x^3 + kx^2 ]
- [ 2x^4 - 4x^3 - 10x^2 ]
k + 10 = 0
k = -10