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\(\displaystyle

\int \frac{3x^2 - 2}{x^2 - 2x - 8} dx\)

so I got \(\displaystyle \int 3 + \frac{x^2 - 2}{(x - 4)(x + 2)}\)

I'm not sure if that's right? I just factored it out instead of long division. I Don't recall what "synthetic division" is either.

So I have \(\displaystyle (x - 4)(x + 2) = A(x+2) + B(x-4)\)

Am I on the right track or no?