3x^2+10x+8=3x^2+6x+4x+8 ∵3 × 8=24 24=6 × 4 amp; 10=6+4 amp; =3x(x+2)+4(x+2) =(x+2)(3x+4) 𝐀𝐧𝐬. ...

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Factorisation by Regrouping Terms

Factorise: 3x...

Question

Factorise:

$3 x^{2} + 10 x + 8$

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Solution

$3 x^{2} + 10 x + 8 = 3 x^{2} + 6 x + 4 x + 8 ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} ∵ 3 \times 8 = 24 24 = 6 \times 4 10 = 6 + 4 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭ = 3 x (x + 2) + 4 (x + 2) = (x + 2) (3 x + 4) A n s .$

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