Question

divide by long division

(x^2+9x+12)/x+7

Answer 1

It's a process of divide, multiply, subtract, divide, multiply, subtract. It's really those same 3 steps over and over again, it just needs to be done properly.

Answer 2

I got x+2+(-2/x+7)

Answer 3

So this is what we have:

x+7|x^2 + 9x + 12
So we are going to start with the first term in the quotient, x^2. What we do is divide x^2 by the x we have. So that is done like this:
(x^2/x) = x. This we put on top:
x
x+7|x^2 + 9x + 12
So as I mentioned, this is 3 steps, divide, multiply, subtract. That was the divide part. Next is multiply. So the x we have on top. This must be multiply by the whole thing we are dividing by, mainly (x+7). When we do that multiplication, we end up with
x(x+7) = x^2 + 7x. This we put underneath like this:
x
x+7|x^2 + 9x + 12
x^2 + 7x

Now this is the subtraction part. We must subtract what we just put underneath from what's above it. So doing that I get
x
x+7|x^2 + 9x + 12
-(x^2 + 7x)
= 2x + 12
So the x^2's cancel, i subtracted 7x from 9x to get 2x and I brought down the 12.
Ill stop here for now, can you make sense of what Ive been doing?

Answer 4

Yes thank you.

Answer 5

Do you think you could repeat the pricess with the 2x + 12?

Answer 6

yes