# Characterizing Cubics!

Algebra Level 5

$\large{f(x) = x^3 + px + q}$

Let $$f(x) = 0$$ be a cubic equation such that;

• it has one repeated root of multiplicity 2, and

• $$p$$ and $$q$$ are integers such that $$q=np$$ for the least permissible positive integer $$n$$.

Find the value of $$p+q$$.

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