Question

12s^2-s-6 splitting middle team.... factories​

Answer 1

Question

Factorie using middle term splitting:

12s²-s-6

Solution

$\sf{12s²-s-6}$

Multiply the coefficient of the first term by the constant .

$\sf{ \implies 12×(-6) = -72}$

Now we will find two factors of -72 whose sum equals the coefficient of the middle term

$\sf{ \implies -9+8 = -1}$

Now Splitting the middle term -

$\sf{ \implies \: 12s²-9s+8s-6}$

$\sf{ \implies \: 3s(4s-3)+2(4s-3)}$

$\sf{ \implies \blue{(4s+3)(3s+2)}}$

So final result of factorisation is (4s+3)(3s+2)

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