Problem 42 of 7
Use inspection to rewrite rational expression (2x^2+7x+4)/(x+2).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
recognize numerator as divisor times expression plus remainder.
Hidden until you reveal it.
Recognize numerator as divisor times an expression plus a remainder.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Look for a product involving the denominator.
2. Rewrite numerator as denominator times quotient plus remainder.
3. Separate into quotient plus remainder fraction.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Unsupported cancellation of non-factors.