Question

How do you find the quotient of `(9m^2+5m)div6m`?

Answer 1

`3/2m + 5/6`

Explanation:

Divide `(9m^2)/(6m)` this is `3/2m`(this is the first term in the quotient)

Multiply `6m` by `3/2m`

`3/2mxx6m = 9m^2` subtract `9m^2` from `9m^2` this leaves 0

Now divide `5m` by `6m`:

`(5m)/(6m)= 5/6`(this is the second term in the quotient).

Multiply `6m` by `5/6`

`5/6xx 6m = 5m`

Subtract `5m` from `5m` this leaves 0

There are now no more terms to divide, so our quotient is:

`3/2m+ 5/6`

This process needs to be done in columns, but the math formatting in Socratic doesn't seem to allow you to do this, or a least I haven't figured it out yet.