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if $$f(x) = 0$$ and $$g(x) = 0$$ are two polynomial equation having some common root(s)

is/are also the root(s) of $$h(x) = af(x) + bg(x) = 0$$

How?

Note by Megh Choksi
2 years, 5 months ago

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I think using simple distributive property we can unite both f(x) and g(x) as they both have common root as their factor · 2 years, 5 months ago