Since the degree of the denominator is 2 and the degree of the numerator is 1, the form of the partial decomposition is given as

By rewriting the right hand side as a single fraction, we have

We can to note that the denominators are equal, so we requiere the equality of the numerator, that is

Then, by distributing A and B into their respective parentheses, we get

Now, by factoring x, we obtain

The coefficients near the like terms should be equal. Then, by comparing both sides, we can see that

In matrix form, this system can be expressed as

So, we need to solve this system of equations. This system is equivalent to

By adding our last equations, we get

So B is given as

Now, by substituting this result into equation (2), we obtain

So A is given as

Therefore, the answer is:
