How do you write the partial fraction decomposition of the rational expression x^2 / (x² + x + 2)? Precalculus Matrix Row Operations Partial Fraction Decomposition (Linear Denominators) 1 Answer Ratnaker Mehta Aug 14, 2018 x^2/(x^2+x+2)={(x^2+x+2)-(x+2)}/(x^2+x+2) (x^2+x+2)/(x^2+x+2)-(x+2)/(x^2+x+2) =1-(x+2)/(x^2+x+2). Answer link Related questions What does partial-fraction decomposition mean? What is the partial-fraction decomposition of (5x+7)/(x^2+4x-5)? What is the partial-fraction decomposition of (x+11)/((x+3)(x-5))? What is the partial-fraction decomposition of (x^2+2x+7)/(x(x-1)^2)? How do you write 2/(x^3-x^2) as a partial fraction decomposition? How do you write x^4/(x-1)^3 as a partial fraction decomposition? How do you write (3x)/((x + 2)(x - 1)) as a partial fraction decomposition? How do you write the partial fraction decomposition of the rational expression x^2/ (x^2+x+4)? How do you write the partial fraction decomposition of the rational expression # (3x^2 + 12x -... How do you write the partial fraction decomposition of the rational expression 1/((x+6)(x^2+3))? See all questions in Partial Fraction Decomposition (Linear Denominators) Impact of this question 1598 views around the world You can reuse this answer Creative Commons License