x³ − 23x² + 142x − 120

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Solution

Let be the given polynomial.

Now, putting we get

Therefore, is a factor of polynomial f(x).

Now,

Hence are the factors of polynomial f(x).

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x^{3} - 23 x^{2} + 142 x - 120

x^{3} - 23 x^{2} + 142 x - 120

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x^{3} - 23 x^{2} - 142 x - 120

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(x - 1)

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