Mathematics

Factorise the following:

x3 - 3x2 + x - 3

Factorisation

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Answer

x3 - 3x2 + x - 3

= x2(x - 3) + 1(x - 3)

= (x2 + 1)(x - 3).

Hence, x3 - 3x2 + x - 3 = (x2 + 1)(x - 3).

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