Question

How do you synthetically divide (6x^3+10x^2+x+8)/(2x^2+1)?

Answer 1

there may be some special technique I don't know about to use synthetic division here, but usually that is reserved for dividing a polynomial by the form \((x-a)\)
here I would do regular polynomial division

Answer 2

I don't recall ever doing synthetic division, but I'm reading the link as a crash course.
http://www.purplemath.com/modules/synthdiv.htm