
Robert J. answered 12/16/12
Certified High School AP Calculus and Physics Teacher
Since the divisor p+8 is linear, you can use synthetic division.
-8 | 1 4 -26
........-8 32
-----------------------
.....1 -4 | 6
Answer: (p^2 + 4p - 26)/(p + 8) = (p-4) + 6/(p+8)