Home/Calculus II/Irreducible quadratic factors/For x2+px+qx^2+px+qx2+px+q with negative discriminant:8.3. Irreducible quadratic factorsFor x2+px+qx^2+px+qx2+px+q with negative discriminant:In 8.3. Irreducible quadratic factorsFormulaCopy LaTeXAx+Bx2+px+q.\frac{Ax+B}{x^2+px+q}.x2+px+qAx+B.Tagsantiderivativepartial fractionspartial fractions: irreducible quadratic factorsfunctions rationalVariablesxxxVariable independiente (variable de integración)Found an error? Contact us.Related formulasRelatedFor (x−r)m(x-r)^m(x−r)m, all terms are included:A1x−r+A2(x−r)2+⋯+Am(x−r)m.\frac{A_1}{x-r}+\frac{A_2}{(x-r)^2}+\cdots+\frac{A_m}{(x-r)^m}.x−rA1+(x−r)2A2+⋯+(x−r)mAm.Open formulaOpen in sectionRelatedFormulaA1x+B1x2+px+q+A2x+B2(x2+px+q)2+⋯+Amx+Bm(x2+px+q)m.\frac{A_1x+B_1}{x^2+px+q} +\frac{A_2x+B_2}{(x^2+px+q)^2} +\cdots +\frac{A_mx+B_m}{(x^2+px+q)^m}.x2+px+qA1x+B1+(x2+px+q)2A2x+B2+⋯+(x2+px+q)mAmx+Bm.Open formulaOpen in section