The correct option is A (x + 4) (3x + 2) Given Eq x(3x+14)+8 = 3x^2+14x+8 Now factorizing ⇒ 3x^2+12x+2x+8 ⇒ 3x(x+4)+2(x+4) ⇒(3x+2)(x+4) ...

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Factorisation by Common Factors

Solve: x3x ...

Question

Solve: $x (3 x + 14) + 8$

(x + 4) (3 x + 2)

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(x + 2) (x + 4)

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(x - 4) (x + 6)

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(x - 2) (4 x + 5)

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Solution

The correct option is A $(x + 4) (3 x + 2)$
Given Eq $x (3 x + 14) + 8 = 3 x^{2} + 14 x + 8$
Now factorizing
$\Rightarrow 3 x^{2} + 12 x + 2 x + 8$
$\Rightarrow 3 x (x + 4) + 2 (x + 4)$
$\Rightarrow (3 x + 2) (x + 4)$

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