# Integral of (5x-2)/(x^2+2x-8)

## Answer

## Step-by-step explanation

Problem to solve:

We can factor the polynomial $x^2+2x-8$ using synthetic division (Ruffini's rule). We search for a root in the factors of the constant term $-8$ and we found that $2$ is a root of the polynomial

Let's divide the polynomial by $x-2$ using synthetic division. First, write the coefficients of the terms of the numerator in descending order. Then, take the first coefficient $1$ and multiply by the factor $2$. Add the result to the second coefficient and then multiply this by $2$ and so on