Verified answer

Hello,

f(x) = 2x³ - 3x² - 4x - 3

  = 2x³ + 8x² - 11x² - 44x + 40x + 160 - 163

  = 2x²(x + 4) - 11x(x + 4) + 40(x + 4) - 163

  = (x + 4)(2x² - 11x + 40) - 163

Hence,

f(x) / (x + 4) = 2x² - 11x + 40 - 163/(x + 4)

Since

f(x) = (x + 4)(2x² - 11x + 40) - 163

f(-4) = (-4 + 4)(...) - 163

  = (0×...) - 163

  = -163

So f(-4)=-163.

Logically,

Dragon.Jade :-)