Question

How do you divide `(3x^2-10x)div(x-6)` using synthetic division?

Answer 1

The answer is `=3x+8 +48/(x-6)`

Explanation:

Let's do the long division

`3x^2-10x` `color(white)(aaaa)` `∣` `x-6`
`3x^2-18x` `color(white)(aaaa)` `∣` `3x+8`
`color(white)(aa)` `0+8x`
`color(white)(aaaaa)` `8x-48`
`color(white)(aaaaaa)` `0+48`

So let's put it all together
`(3x^2-10x)/(x-6)=3x+8 +48/(x-6)`