Question

How do you divide `x^2-4x-3` by `x+5`?

Answer 1

`x+1 +2/(x+5)`

Explanation:

Divide `x^2-4x-3` by `x+5`.

`color(white)(aaaaaaaaaa^1a)x+1 +2/(x+5)`
`color(white)(aaaaa)----------`
`x-5 | color(white)ax^2-4x-3`
`color(white)(aa^2a)-(x^2-5x)color(white)(a)darr`
`color(white)(aaaaaa)----`
`color(white)(aaaaaaaaaaaa)x-3`
`color(white)(aaaaaaaaa)-(x-5)`
`color(white)(aaaaaaaaa)----`
`color(white)(aaaaaaaa^2aaaaaaa)2`