If 3x + 4 is a factor of 9x2y + 12xy, what is the other factor?
To find the other factor, we can divide 9x^2y + 12xy by 3x + 4.
The division would look like this:
3x + 4 | 9x^2y + 12xy
We start by dividing 9x^2y by 3x. This gives us 3xy.
3x + 4 | 9x^2y + 12xy
|
3xy
Next, we multiply 3xy by 3x + 4, and subtract the result from 9x^2y + 12xy.
3xy
3x + 4 | 9x^2y + 12xy
-9x^2y - 12xy
_______________
0
Since there is no remainder, we have divided evenly.
Therefore, the other factor is 3xy.
The factors are 3x + 4 and 3xy.