# SOLUTION: Question reads: Write the partial fraction decomposition of the rational expression: -x/(x+6) (x+5) Possible Answers: (A) 5/x+6 + -6/x+5 (B) 6/11/x+6 + -5/11/x+5 (C) -6

Algebra ->  College -> SOLUTION: Question reads: Write the partial fraction decomposition of the rational expression: -x/(x+6) (x+5) Possible Answers: (A) 5/x+6 + -6/x+5 (B) 6/11/x+6 + -5/11/x+5 (C) -6      Log On

 Question 31746: Question reads: Write the partial fraction decomposition of the rational expression: -x/(x+6) (x+5) Possible Answers: (A) 5/x+6 + -6/x+5 (B) 6/11/x+6 + -5/11/x+5 (C) -6/x+6 + 5/ X+5 (D) -6/11?x+6 + 5/11/x+5 These are a lot of numbers. Please be specific when choosing an option.Thanks!Answer by mukhopadhyay(490)   (Show Source): You can put this solution on YOUR website!Let -x/(x+6) (x+5) = A/(x+6) + B/(x+5) => -x = A(x+5) + B(x+6) for x=-5, 5 = B (from the above equation); for x=-6, 6 = -A => A = -6 So, the partial fraction decomposition is: -6/(x+6) + 5/(x+5) Correct answer is C; When you send the "Thank You" message, would you please let me know the school grade level in which Partial Fraction Decomposition is taught? Thanks