16Hit1600
Advanced MathVery hardMinimum from a factored quadratic with a leading coefficient

Advanced Math practice question

The function p is defined by p(x) = 3(x − 2)(x − 8). What is the minimum value of p(x)?

Answer: -27

The vertex is at x = 5, midway between the zeros, and p(5) = 3(3)(−3) = −27.

Common wrong answers

If you answered 5
5 is the x-coordinate of the vertex.
If you answered 48
48 is p(0).
If you answered -9
−9 forgets the factor of 3.

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