Factorise: x3-6 x2 + 10
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According to Factor theorem, if (x - a) is a polynomial factor f(x), then f(a) = 0
Let
Let us check if (x - 1) is the factor of f(x),
Then,
Therefore (x-1) is a factor of f(x)
Let us check for the other factors
Hence,
Therefore, 1, 2, 3 are the factors of f(x)
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