Question

How do you find the quotient of `(4y^2+8y+3)div(y+2)` using long division?

Answer 1

The remainder is `=3` and the quotient is `=4y`

Explanation:

We perform the long division

`color(white)(aaaa)` `4y^2+8y+3` `color(white)(aaaa)` `|` `y+2`

`color(white)(aaaa)` `4y^2+8y` `color(white)(aaaaaaa)` `|` `4y`

`color(white)(aaaaaa)` `0+0+3`

The remainder is `=3` and the quotient is `=4y`

`(4y^2+8y+3)/(y+2)=4y+3/(y+2)`