F (x)=3x^3 -4x ^2 +6 x and g( x )= 5x ^ 3 + 2x ^2 - 3x. What is f (x ) - g (x)?
To find f(x) - g(x), we subtract the expression for g(x) from the expression for f(x).
f(x) - g(x) = (3x^3 - 4x^2 + 6x) - (5x^3 + 2x^2 - 3x)
To subtract the polynomials, we need to rearrange the like terms and combine them:
f(x) - g(x) = 3x^3 - 4x^2 + 6x - 5x^3 - 2x^2 + 3x
Now, we can combine the like terms:
f(x) - g(x) = (3x^3 - 5x^3) + (-4x^2 - 2x^2) + (6x + 3x)
Simplifying further:
f(x) - g(x) = -2x^3 - 6x^2 + 9x
Therefore, f(x) - g(x) is equal to -2x^3 - 6x^2 + 9x.