SOLUTION: Divide: (9y + 18 – 11y2 + 12y3)/ (4y + 3)

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Question 314190: Divide: (9y + 18 – 11y2 + 12y3)/ (4y + 3)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%2812y%5E3-11y%5E2%2B9y%2B18%29%2F%284y%2B3%29
First multiplier:3y%5E2
3y%5E2%284y%2B3%29=12y%5E3%2B9y%5E2
Subtract from the original polynomial to get the remainder,
%2812y%5E3-11y%5E2%2B9y%2B18%29-%2812y%5E3%2B9y%5E2%29=-20y%5E2%2B9y%2B18
Next multiplier:-5y
-5y%284y%2B3%29=+-20y%5E2-15y
Subtract from the remainder to get the new remainder,
%28-20y%5E2%2B9y%2B18%29-%28-20y%5E2-15y%29=24y%2B18
Final multiplier:6
6%284y%2B3%29=24y%2B18
Subtract from the remainder to get the new remainder,
%2824y%2B18%29-%2824y%2B18%29=0
Put it all together,
%2812y%5E3-11y%5E2%2B9y%2B18%29%2F%284y%2B3%29=3y%5E2-5y%2B6