Factorise the following: x 3 - 3x 2 + x - 3

x 3 - 3x 2 + x - 3 = x 2 (x - 3) + 1(x - 3) = (x 2 + 1)(x - 3). Hence, x 3 - 3x 2 + x - 3 = (x 2 + 1)(x - 3).

Mathematics

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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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