16Hit1600
Advanced MathEasy–MediumSecond factor of a trinomial

Advanced Math practice question

For all values of x, x² − 7x + 12 = (x − 3)(x − k), where k is a constant. What is the value of k?

Answer: 4

The factors of 12 that add to 7 are 3 and 4, so the other factor is (x − 4).

Common wrong answers

If you answered 7
7 copies the middle coefficient.
If you answered 12
12 copies the constant term.
If you answered -4
−4 would give (x − 3)(x + 4) = x² + x − 12.

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