16Hit1600
Advanced MathEasy–MediumCoefficient left after subtracting a sum of squares

Advanced Math practice question

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

Answer: 6

(x + 3)² = x² + 6x + 9; subtracting x² + 9 leaves 6x.

Common wrong answers

If you answered 0
0 assumes (x + 3)² equals x² + 9.
If you answered 3
3 counts only one of the two 3x terms.
If you answered 9
9 is the constant term, which cancels.

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