Need some help with using synthetic division to find the function value of this problem:

Question

f(x)=2x^4+4x^3+2x^2+3x+8;find f(-2)

Answer 1

hard to line up the spacing with this font format, but here it goes

-2│2 4 2 3 8
***----------
*** -4 0-4 2
** 2 0 0-1 10

so f(-2) = 10

Answer 2

the last row in the synthetic division algorithm should have been

** 2 0 2 -1 10