Hi!
So I'll show you how to divide the polynomial step-by-step
First you want to write this out like any long division problem.
After that you need to see what times x is x^2?
x*x is x^2 so you want to write x over -6x, you have to make sure that you write it over the same degree term.
Now you multiply both x and 2 (which came from the x +2) by x (which was what you wrote in your first part of the quotient)
Then you subtract what you got from multiplying the x and 2 by x (you should have gotten -8x)
Now you want to bring down the next term in the dividend.
So you want to see what times x is -8x? (This should be -8)
Now you write -8 in the quotient. Now your quotient should be x-8.
After that, you want to multiply x+2 by the -8 and subtract again. (you should get -4)
Since you've filled in the last space in your quotient you have a remainder of -4. Remember to write the remainder as a fraction, -4/x+2
Hope this helped! Let me know if you still have any questions!
