16Hit 1600
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.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.