12x^2 7x+1 =12x^2 4x 3x+1 #160; =4x(3x 1) 1(3x 1) #160; =(4x 1)(3x 1) #160; ∴ (12x^2 7x+1) = (4x 1)(3x 1) ...

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Factorisation by Common Factors

Factorize: ...

Question

Factorize: $12 x^{2} - 7 x + 1$

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Solution

$12 x^{2} - 7 x + 1$
$= 12 x^{2} - 4 x - 3 x + 1$
$= 4 x (3 x - 1) - 1 (3 x - 1)$
$= (4 x - 1) (3 x - 1)$
$∴ (12 x^{2} - 7 x + 1)$ = $(4 x - 1) (3 x - 1)$

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