Crossing The Line

Algebra Level pending

\[\begin{cases} f(x) = (x-a)^2 \\ g(x) = (x-a)(x-b)(x-c) \\ h(x) = f(x) + g(x) \end{cases} \]

Given the system of equations above, where \(a\), \(b\), and \(c\) are distinct real numbers. Which of these points is on \(h(x)\)?

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