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

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

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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)

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