4x^5 -2x^3 +2x +4 by 2x+1 synthetic division

Question

Would it be like this:

2x+1=0 ; x=-1/2

-1/2 |4 0 -2 0 2 4
| -2 1 .5 0 -1
|___________________

4 -2 -1 .5 2 3

4x^4 -2x^3 -x^2 +.5x +2 R 3/2x+1

Is this correct? Can you check my answer multiplied by 2x+1 to see if it gives me the product?

Answer 1

what, you can't check it?
Apparently not. In fact, your results row should be

4 -2 -1 1/2 7/4 25/8