Use synthetic division to find the remainder.

When x^4 - 2x^3 - 3x^2 - 4x - 8 is divided by x - 2

-28

20

-20

- 28

Step-by-step explanation:

(x⁴ - 2x³ - 3x² - 4x - 8) / (x - 2)

(x⁴ - 2x³ - 3x² - 4x - 8) - (x³ (x - 2)) = x⁴ - 2x³ - 3x² - 4x - 8 - x⁴ + 2x³ = - 3x² - 4x - 8

( - 3x² - 4x - 8) - (-3x (x - 2)) = - 3x² - 4x - 8 + 3x² - 6x = - 10x - 8

(-10x - 8) - ((-10) (x - 2)) = - 10x - 8 + 10x - 20 = - 28 Remainder