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)
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)