2x^2+x 45 =2x^2+10x 9x 45 ∵ 2× ( 45)= 90 ∴ 90=(10) × ( 9) 1=10 9 =2x(x 5)+9(x 5) =(x 5)(2x+9) ...

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Factorisation by Regrouping Terms

Factorise: 2x...

Question

Factorise:

$2 x^{2} + x - 45$

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Solution

We have $2 x^{2} + x - 45$
$= 2 x^{2} + (10 - 9) x - 45$
$= 2 x^{2} + 10 x - 9 x - 45$
$= 2 x (x + 5) - 9 (x + 5)$
$= (x + 5) (2 x - 9)$

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