we have
(2x^3-3x^2-2x-20) : (x-3)
2x^2+3x+7
-2x^3+6x^2
--------------------------
3x^2-2x-20
-3x^2+9x
-------------------------
7x-20
-7x+21
-------------
1
therefore
the remainder is 1
so
(2x^3-3x^2-2x-20)=(x-3)(2x^2+3x+7)+1
therefore
the answer is
(2x^2+3x+7)+1/(x-3)