f(x)=3x^3-4x^2+6x and g(x)=5x^3+2x^2-3x. What is f(x)-g(x)?
To find f(x) - g(x), we need to subtract each term of g(x) from the corresponding term of f(x).
f(x) = 3x^3 - 4x^2 + 6x
g(x) = 5x^3 + 2x^2 - 3x
f(x) - g(x) = (3x^3 - 5x^3) + (-4x^2 - 2x^2) + (6x + 3x)
= -2x^3 - 6x^2 + 9x
Therefore, f(x) - g(x) is -2x^3 - 6x^2 + 9x.