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

1 Answer
Jan 28, 2018

Answer:

#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)#