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Factorisation by Common Factors

Factorise the...

Question

Factorise the polynomial: $x^{3} + 2 x^{2} + 5 x + 10$

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Solution

$x^{3} + 2 x^{2} + 5 x + 10$
$= x^{2} (x + 2) + 5 (x + 2)$
$= (x^{2} + 5) (x + 2)$
the factors are $(x^{2} + 5), (x + 2)$

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