# Partial Fraction Decomposition (Irreducible Quadratic Denominators)

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Partial Fraction Decomposition (Irreducible Quadratic Denominators)### Questions

- How do I find the partial-fraction decomposition of #(3x^2+2x-1)/((x+5)(x^2+1))#?
- How do I find the partial-fraction decomposition of #(s+3)/((s+5)(s^2+4s+5))#?
- How do I find the partial-fraction decomposition of #(x^4 + 5x^3 + 16x^2 + 26x + 22)/(x^3 + 3x^2 + 7x + 5)#?
- How do I find the partial-fraction decomposition of #(-3x^3 + 8x^2 - 4x + 5)/(-x^4 + 3x^3 - 3x^2 + 3x - 2)#?
- How do I find the partial-fraction decomposition of #(2x^3+7x^2-2x+6)/(x^4+4)#?
- What is meant by an irreducible quadratic denominator?
- How do irreducible quadratic denominators complicate partial-fraction decomposition?
- How do I decompose the rational expression #(x-3)/(x^3+3x)# into partial fractions?
- How do I decompose the rational expression #(x^5-2x^4+x^3+x+5)/(x^3-2x^2+x-2)# into partial fractions?
- How do I decompose the rational expression #(-x^2+9x+9)/((x-5)(x^2+4))# into partial fractions?
- How do you find the partial fraction decomposition when you have repeated quadratic or linear factors?
- How do you express #1/(s+1)^2# in partial fractions?
- How do you express #(x^2 + 5x - 7 )/( x^2 (x+ 1)^2)# in partial fractions?
- How do you express #( 2x)/(1-x^3)# in partial fractions?
- How do you express # (x^2+x+1)/(1-x^2)# in partial fractions?