How do you divide (x^4-16)div(x+2) using synthetic division?

1 Answer
Jan 28, 2018

color(blue)(x^3 -2x^2 + 4x -8)

Explanation:

-2 color(white)(aa)|color(white)(aaa)1color(white)(aaa)0color(white)(aaa)0color(white)(aaa)0color(white)(aa)-16

color(white)(aaaaaaaaa)darr-2color(white)(aaa)4-8color(white)(aaaaa)16

color(white)(aaaa)----------

color(white)(aaaaaaaaa)1color(white)(a)-2color(white)(aaa)4-8color(white)(aaaaaa)0

color(blue)(x^3 -2x^2 + 4x -8)

x^2 (x-2) + 4 (x-2)

(x^2 + 4) (x-2)