3y^2+14y+8 =3y^2+12y+2y+8 ∵3 × 8=24 24=12× 2 amp; 14=12+2 amp; =3y(y+4)+2(y+4) =(y+4)(3y+2) ...

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Factorisation by Regrouping Terms

Factorise: 3y...

Question

Factorise:

$3 y^{2} + 14 y + 8$

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Solution

$3 y^{2} + 14 y + 8 = 3 y^{2} + 12 y + 2 y + 8 ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} ∵ 3 \times 8 = 24 24 = 12 \times 2 14 = 12 + 2 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭ = 3 y (y + 4) + 2 (y + 4) = (y + 4) (3 y + 2)$

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