Question

How do you divide `(3x^3-7x-4)` by `(x-32)`?

Answer 1

the quotient`=3x^2-7` and a remainder of `-228`

Explanation:

`color(white)(aaaaaaaaaaaaa)` `3x^2-7`
`color(white)(aaaaaaaaaaa)` `-------`
`color(white)(aaaaa)x-32` `|` `3x^3+0-7x-4` #color(white) (aaaa)# `∣` `color(blue)(3x^2-7)`

`color(white)(aaaaaaaaaaaa)` `3x^3+0` `color(white)`
`color(white)(aaaaaaaaaa)` `----`
`color(white)(aaaaaaaaaaaaaaaaa)` `0-7x-4`

`color(white)(aaaaaaaaaaaaaaaaaaa)` `-7x+224`
`color(white)(aaaaaaaaaaaaaaaaaaaaa)` `---`
`color(white)(aaaaaaaaaaaaaaaaaaaaaa)` `0-228`

The remainder is `=-228` and the quotient is `=3x^2-7`