SOLUTION: Write the partial fraction decomposition of the rational expression. 13x+2 ----------- -- (x-1)(x^2+x+1)

  

Multiply through by 



That must be true for every value of x.  So we may substitute
any number for x and it will be true.

We substitute x=1












We substitute x=0 and A=5











We substitute x=2, A=5, and C=3

















Answer: Substitute A=5, B=-5, C=3



or if you like:





Edwin