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

1 Answer
sankarankalyanam
Jan 31, 2018

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))

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