Tangent to the Axis

Problem

The graph of $f(x) = x^3 + px^2 + qx$ is tangent to the $x$ -axis at a point $(x_0, 0)$ with $x_0 \neq 0$ , and the local minimum value of $f$ is $-4$ . Find $p + q$ .

Answer

Solution

Difficulty	6/10
Topics	Extrema, calculus, Polynomials

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