Question

Let f(x) = 9x ^ 3 - 12x ^ 2 - 31 and let g(x) = 3x - 1 Find (f(x))/(g(x))

Answer 1

Question:

Solution:

Consider the following expression:

`(9x^3-12x^2-31)/(3x-1)`

Applying long division, this is equivalent to:

`3x^2+(-9x^2-31)/(3x-1)`

Finally, applying long division, this is equivalent to:

`3x^2-3x-1-(32)/(3x-1)`

So that, we can conclude that the correct answer is:

`3x^2-3x-1-(32)/(3x-1)`