9514 1404 393
Answer:
3p +24 +162/(p-6)
Step-by-step explanation:
The result of the division can be found using polynomial long division, or using synthetic division. The latter requires less writing and gives the same answer:
[tex]\dfrac{3p^2+6p+18}{p-6}=3p+24+\dfrac{162}{p-6}[/tex]