How do you divide (26-43k-83k^2+9k^3)div(7+9k) using synthetic division?

1 Answer
sankarankalyanam
Jan 29, 2018

color(green)(9k^2 - 90k + 27 + 5/ (k + (7/9)))

Explanation:

(9k^3 - 83k^2-43k+26) / (9k + 7)

color(white)()-7/9color(white)(aa)|color(white)(aa)9color(white)(aa)-83color(white)(aa)-43color(white)(aaaaaaa)26
color(white)(aaaaaa)|
color(white)(aaaaaa)|color(white)(a)darrcolor(white)(aa)-7color(white)(aaaa)70color(white)(aaaaa)-21
color(white)(aaaaaa)-----------

color(white)(aaaaaaaaaa)9color(white)(aa)-90color(white)(aaaa)27color(white)(aaaaaaaa)5

Answer : color(green)(9k^2 - 90k + 27 + 5/ (k + (7/9)))

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