Problem 42 of 7
Rewrite rational function (2x^2 + 3) / (x^2 - 5x + 6) to reveal holes and asymptotes.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
factor/cancel and use division where needed.
Hidden until you reveal it.
Factor/cancel and use division where needed for removable and nonremovable discontinuities.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Factor numerator and denominator.
2. Cancel common factors while recording excluded inputs.
3. Use division for improper rationals to reveal slant or horizontal behavior.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Canceling factors without recording holes.