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Factorisation by Regrouping Terms

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Question

Factorise completely: $2 x^{3} + x^{2} - 2 x - 1$

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Solution

given, $2 x^{3} + x^{2} - 2 x - 1$

$= x^{2} (2 x + 1) - 1 (2 x + 1)$

$= (x^{2} - 1) (2 x + 1)$

$= (x + 1) (x - 1) (2 x + 1)$

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Factorisation by Regrouping Terms

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