SOLUTION: x^3+4x+5/x+1 the answer is x^2-x+5 my question is how did solve for this?

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Question 139303: x^3+4x+5/x+1
the answer is x^2-x+5
my question is how did solve for this?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^3+4x+5/x+1
the answer is x^2-x+5
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Using synthetic division:
-1)....1...0....4....5
........1...-1...5..|..0
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Remainder: zero
Quotient x^2-x+5
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cheers,
stan H.