SOLUTION: Pls I am having challenges with dis type of problem in partial fractions 2x^3+2x^2+2/(x^2+3)+(x+1)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Pls I am having challenges with dis type of problem in partial fractions 2x^3+2x^2+2/(x^2+3)+(x+1)      Log On


   

Question 1073020: Pls I am having challenges with dis type of problem in partial fractions 2x^3+2x^2+2/(x^2+3)+(x+1)
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2 + 3) is the denominator
:
[2x^3 * (x^2 + 3) + 2x^2 * (x^2 + 3) + 2 + (x + 1) * (x^2 + 3)] / (x^2 + 3) =
:
(2x^5 + 6x^3 + 2x^4 + 6x^2 + 2 + x^3 + x^2 + 3x + 3) / (x^2 + 3) =
:
(2x^5 + 2x^4 + 7x^3 + 7x^2 + 3x + 5) / (x^2 + 3) =
:
[2x^4 * (x + 1) +7x^2 * (x + 1) +3x +5] / (x^2 + 3) =
:
[(x + 1) * (2x^4 + 7x^2) +3x +5] / (x^2 + 3) =
:
[(x + 1) * x^2 * (2x^2 + 7) +3x +5] / (x^2 + 3)
: