Answer:
The answer is A
Step-by-step explanation:
This is polynomial division and the concept is pretty easy
The first thing to do is what can I multiply by n to get [tex]2n^{2}[/tex]
The reason for this is so that when subtraction is done, the [tex]n^{2}[/tex] coefficient becomes zero. That will be 2n
Next we multiply 2n through (n+9)
we do the addition and [tex]n^{2}[/tex] is cancelled and we get 18n.
Now, we do 15n - 18n = -3n
we pull down -18 to get -3n-18
Next we have to multiply through by -3 so that when subtraction is done, the coefficient of n becomes zero
Doing that, coefficient of n cancels out and we have -18 - (-27) = 9
which is the remainder.
Consider the picture attached to this solution for better illustration
