Integration of rational functions by partial fractions

[vande060]

Homework Statement

write out the form of the partial fraction decomposition of the function, do not determine the numerical values of the coefficients

x^2/(x^2 + x + 2)

Homework Equations

The Attempt at a Solution

since the numerator is not less of a degree than the denominator I preformed polynomial division to obtain:

1 + (-x-2)/(x^2 + x + 2)

here I don't think the denominator is even factorable, because the discriminant (b^2 - 4ac) is < 0. . Is the book asking me a trick question here?

EDIT: is it just simply (Ax + B)/(x^2 + x +2)

 

[SammyS]

Yes, if you are referring to (-x-2)/(x² + x + 2) .

 

[vande060]

Yes, if you are referring to (-x-2)/(x² + x + 2) .

thanks!