Question

How do you divide `(3r^3+11r^2-6r-18)div(r+4)` using synthetic division?

Answer 1

`3r^2-r-2-10/(r+4)`

Explanation:

`(3r^3+11r^2-6r-18)/(r+4)`

....... 3 .... 11 .... -6 ..... -18
-4 |`darr`.. -12 ...... 4 ......... 8
....... 3 ..... -1 ..... -2 .... -10 => Remainder

`=3r^2-r-2-10/(r+4)`