Advanced MathHardCancelling a common binomial factor
Advanced Math practice question
For x > 0, the expression (x² + 2x)/(x + 2) is equivalent to which of the following?
- A. xCorrect
- B. x + 2
- C. x²
- D. 2x
Answer: A. x
x² + 2x = x(x + 2), and dividing by x + 2 leaves x.
Why the other answers are wrong
- B. x + 2
- x + 2 is the cancelled factor.
- C. x²
- x² ignores the denominator.
- D. 2x
- 2x is not the quotient; check x = 1: 3/3 = 1.
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