Integration of rational functions by partial fractions

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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 dont 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)
 
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Answers and Replies

  • #2
SammyS
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Yes, if you are referring to (-x-2)/(x2 + x + 2) .
 
  • #3
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Yes, if you are referring to (-x-2)/(x2 + x + 2) .


thanks!
 

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