16Hit1600
Advanced MathMediumConstant inside a factored binomial

Advanced Math practice question

For all values of x, 6x² − 9x = 3x(2x − k), where k is a constant. What is the value of k?

Answer: 3

3x(2x − k) = 6x² − 3kx, so 3k = 9 and k = 3.

Common wrong answers

If you answered 6
6 copies the leading coefficient.
If you answered 9
9 forgets to divide by the 3 that was factored out.
If you answered -3
−3 has the sign wrong.

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