Question

Use synthetic division to find the remainder.

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

-28
20
-20

Answer 1

Answer:

- 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