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Which of the following is the factorized form of the polynomial $3 x^{2} - 14 x + 8$ ?

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(3 x + 2) (x + 4)

(3 x - 2) (x + 4)

(3 x + 2) (x - 4)

(3 x - 2) (x - 4)

answer is C.

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Detailed Solution

The given polynomial is

3 x^{2} - 14 x + 8.

We factorize the given polynomial using the mid-term splitting.
Therefore,

\Rightarrow 3 x^{2} - 14 x + 8 = 3 x^{2} - 12 x - 2 x + 8

On taking common, we get,

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

Therefore, the factorized form of the polynomial

3 x^{2} - 14 x + 8

(3 x - 2) (x - 4) .

Hence, option (3) is correct.

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