Question

How do you divide `(3x^2+11x+1)div(x-3)` using long division?

Answer 1

quotient`color(blue)(=3x+20` and remainder`color(blue)(=60`

Explanation:

`color(white)(aaaaaaaaaa)` `color(blue)(3x+20`
`color(white)(aaaaaaaaaa)` `------`
`color(white)(aaaa)x-3` `|` `3x^2+11x+1` #color(white) (aaaa)# `∣` `color(blue)`
`color(white)(aaaaaaaaaa)` `3x^2-9x` `color(white)`
`color(white)(aaaaaaaaaa)` `----`
`color(white)(aaaaaaaaaaa)` `0+20x+1`
`color(white)(aaaaaaaaaaaaaa)` `20x-60`
`color(white)(aaaaaaaaaaaaaaaaa)` `---`
`color(white)(aaaaaaaaaaaaaaaaa)` `0+60`

remainder is `color(blue)(=60` and the quotient is `color(blue)(=3x+20`