Question

How do you divide `(26-43k-83k^2+9k^3)div(7+9k)` using synthetic division?

Answer 1

`color(green)(9k^2 - 90k + 27 + 5/ (k + (7/9)))`

Explanation:

`(9k^3 - 83k^2-43k+26) / (9k + 7)`

`color(white)()-7/9color(white)(aa)|color(white)(aa)9color(white)(aa)-83color(white)(aa)-43color(white)(aaaaaaa)26`
`color(white)(aaaaaa)|`
`color(white)(aaaaaa)|color(white)(a)darrcolor(white)(aa)-7color(white)(aaaa)70color(white)(aaaaa)-21`
`color(white)(aaaaaa)-----------`

`color(white)(aaaaaaaaaa)9color(white)(aa)-90color(white)(aaaa)27color(white)(aaaaaaaa)5`

Answer : `color(green)(9k^2 - 90k + 27 + 5/ (k + (7/9)))`