we can do the same here as you saw before, but using long division to check the remainder, hmmm so f(-2), meaning x = -2 for an expression of x + 2 = 0, so let's firstly divide f(x) by x + 2 using long division, will be the same as synthetic, but just to check, then we'll see what f(-2) is.
Check the picture below.
f(-2) = 4(-2)³ - 2(-2)² +3(-2) - 2
f(-2) = -48