Factorise: 3 x^2+10 x+8 - Vidyadip

Question

Factorise: $3 x^2+10 x+8$

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Answer

$3 x^2+10 x+8$
$=3 x^2+6 x+4 x+8$
${24 = 3 × 8, 24 = 6 × 4, 10 = 6 + 4}$
$= 3x(x + 2) + 4(x + 2) $
$= (x + 2)(3x + 4)$

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