(p^2+4p-26) divided by (p+8)

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)

(P²+4P-26) / (P+8)     Original equation

P-4, remainer 6

I can't show my work for polynomial long dividion due to the restrictions of this forum but here's a link to a step-by-step explanation: http://www.purplemath.com/modules/polydiv2.htm