Advanced MathMediumValue after simplifying a rational expression
Advanced Math practice question
For x ≠ −5, the expression (x² + 7x + 10)/(x + 5) simplifies to x + k. What is the value of k?
Answer: 2
x² + 7x + 10 = (x + 2)(x + 5), and dividing by (x + 5) leaves x + 2. So k = 2.
Common wrong answers
- If you answered 5
- 5 is the cancelled factor's constant.
- If you answered 7
- 7 is the middle coefficient.
- If you answered 10
- 10 is the original constant.
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