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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