How do you divide #(x^3-125)div(x-5)# using synthetic division?

1 Answer
Oct 12, 2017

Quotient #x^2+5x+25#, Remainder #0#

Explanation:

#5color(white)(a)| 1color(white)(aaaaa)0 color(white)(aaaaa)0color(white)(aaaaa)#-125
#color(white)(aa)| color(white)(aaaaaa) 5 color(white)(aaaa) 25 color(white)(aaaaa) 125#
#color(white) (aa)|……………………………………… #
# color(white) ( aaaa) 1 color(white) (aaaaa) 5 color(white) (aaaa )25 color(white)(aaaaaaa ) 0#

Quotient #x^2+5x+25#, Remainder #0#