The rational expression is .

This rational expression is proper.

The denominator has one linear factor and one irreducible quadratic factor.

Rewrite the expression as partial fractions.

For the denominator that is a quadratic factor, use  in the numerator.

Multiply each side by  .

Equate the coefficients on the left and right side of the equation to form a system of equations.

In other words, the coefficients of the terms on the left side of the equation must equal the

coefficients of the terms on the right side.

Substiute the value  in equation .

Replace , and in the partial fraction decomposition.

The partial fraction decomposition of the rational expression is .