SOLUTION: Please help me solve this equation by finding the quotient: (2x²+x+5)/(x+2)

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Question 318686: Please help me solve this equation by finding the quotient: (2x²+x+5)/(x+2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First factor: 2x
2x%28x%2B2%29=2x%5E2%2B4x
Subtract from the original polynomial to get the remainder,
%282x%5E2%2Bx%2B5%29-%282x%5E2%2B4x%29=-3x%2B5
Second factor: -3
-3%28x%2B2%29=-3x-6
Subtract from the previous remainder to get the new remainder,
%28-3x%2B5%29-%28-3x-6%29=11
No further division is possible.
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Gather up the factors and the remainder.
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%282x%5E2%2Bx%2B5%29%2F%28x%2B2%29=2x-3%2B%2811%2F%28x%2B2%29%29