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Question
Factorise the following:
x3 – 3x2 – x + 3
Sum
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Solution
Given: x3 – 3x2 – x + 3
We know that,
x2 (x – 3) – (x – 3)
Hence,
⇒ x2(x – 3) – (x – 3)
⇒ (x – 3)(x2 – 1)
⇒ (x – 3) (x + 1) (x – 1)
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