# Question 1

Algebra Level pending

Let $$f(x), g(x), h(x)$$ be quadratic polynomials having positive leading coefficient, each one having real and distinct zeros. If each pair of $$f(x), g(x)$$ and $$h(x)$$ has a common linear factor of $$x$$, then the roots of the equation $$f(x) + 2g(x) + 3h(x) = 0$$:

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