WEBVTT

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Here is the problem: x squared minus x.

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Factor a polynomial over the rational numbers.

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Write the polynomial in standard form.

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Factor out the greatest common factor. Every term is divisible by x.

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Write the complete factorization.

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So the answer is x(x minus 1).

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x squared minus x factors completely over the rationals as x(x minus 1).

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Expanding x(x minus 1) gives back x squared minus x.