Factorize the following
$3 x^{2} - 10 x + 8$

(3 x - 4) (x - 2)

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(3 x + 4) (x - 2)

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(3 x - 4) (x + 2)

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None of these

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Solution

The correct option is B $(3 x - 4) (x - 2)$
$3 x^{2} - 10 x + 8$

$- 6 \times - 4 = 24$ .................the product of the coefficient of the first and the last term
$- 6 + - 4 = - 10$ ................the split for the middle term

Now, splitting the middle term we get

$= 3 x^{2} - 6 x - 4 x + 8$
$= 3 x (x - 2) - 4 (x - 2)$

$= (x - 2) (3 x + 4)$

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