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The partial fractions of fraction numerator 6 x to the power of 4 end exponent plus 5 x to the power of 3 end exponent plus x to the power of 2 end exponent plus 5 x plus 2 over denominator 1 plus 5 x plus 6 x to the power of 2 end exponent end fraction are

  1. x to the power of 2 end exponent minus fraction numerator 1 over denominator 1 plus 2 x end fraction plus fraction numerator 1 over denominator 1 plus 3 x end fraction    
  2. x to the power of 2 end exponent plus fraction numerator 1 over denominator 1 plus 2 x end fraction plus fraction numerator 1 over denominator 1 plus 3 x end fraction    
  3. x to the power of 2 end exponent plus fraction numerator 1 over denominator 1 plus 2 x end fraction minus fraction numerator 1 over denominator 1 plus 3 x end fraction    
  4. negative x to the power of 2 end exponent plus fraction numerator 1 over denominator 1 plus 2 x end fraction plus fraction numerator 1 over denominator 1 plus 3 x end fraction    

The correct answer is: x to the power of 2 end exponent plus fraction numerator 1 over denominator 1 plus 2 x end fraction plus fraction numerator 1 over denominator 1 plus 3 x end fraction

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