How do you divide #(n^3+n^2-11n+18)div(n-1)# using synthetic division?

1 Answer

Answer:

# color(blue)(" Quotient " n^2 + 2n -9, "Remainder " (-1/(n-1))#

Explanation:

# (n^3 + n^2 - 11n + 8) / (n - 1), "using synthetic division "#

#color(white)(aaa aaa aaa ) #
#color(white)(aaa ) 1color(white)(aaa )|color(white)(aaa )1 color(white)(aaa )1 color(white)(a )-11color(white)(aaa )8#
#color(white)(aaa aaaa )|color(white)(aa )darrcolor(white)(aaa )1 color(white)(aaaa )2 color(white)(a )-9#
#color(white)(aaa aaa a )| -------- #
#color(white)(aaa aaa aaa aaa)1 color(white)(aaa )2color(white)(aa ) -9 color(white)(a ) -1#

# color(blue)(" Quotient " n^2 + 2n -9, "Remainder " (-1/(n-1))#