Advanced MathEasy–MediumFactor completely: constant multiplier
Advanced Math practice question
The expression 5x² − 20 is equivalent to k(x − 2)(x + 2) for a constant k. What is the value of k?
Answer: 5
Factor out 5 first: 5(x² − 4) = 5(x − 2)(x + 2), so k = 5.
Common wrong answers
- If you answered 4
- 4 is x²'s companion inside the parentheses (x² − 4), not the multiplier.
- If you answered 10
- Check by expanding: 10(x − 2)(x + 2) = 10x² − 40, twice too large.
- If you answered 20
- 20 is the constant term of the original; the common factor is 5.
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