How do you find the quotient of #(m^4-2m^3+m^2+12m-6)/(m-2)# using synthetic division?

1 Answer
Jan 31, 2018

Answer:

Quotient #color(green)(Q = m^2 + m + 14)#, Remainder #color(green)(R = 22 / (m-2))#

Explanation:

Synthetic Division :

#color(white)(aa)2color(white)(aa)|color(white)(aa)1color(white)(aa)-2color(white)(aa)1color(white)(aa)12color(white)(aa)-6#
#color(white)(aaaaa)|color(white)(a)darrcolor(white)(aaaa)2color(white)(aa)0color(white)(aaa)2color(white)(aaa)28#
#color(white)(aaaaa)----------#
#color(white)(aaaaaaaaa)1color(white)(aaaa)0color(white)(aa)1color(white)(aaa)14color(white)(aaa)22#

Quotient #color(green)(Q = m^2 + m + 14)#, Remainder #color(green)(R = 22 / (m-2))#