Problem 67 of 7
Rewrite rational expression to reveal end behavior: (x^2+3x+5)/(x+1).
Hints
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separate quotient and proper fraction.
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Separate quotient and proper fraction.
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Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
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1. Perform polynomial division.
2. Write expression as quotient plus proper fraction.
3. State the quotient trend as x becomes large in magnitude.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Drawing end behavior from unreduced leading terms when division is needed.