Factorise the expression $3 x^{2} + 14 x + 8$ .

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Solution

Factorize the quadratic equation $3 x^{2} + 14 x + 8$ .
Split the middle term of the expression as $12 x + 2 x$ , and take out the common terms.
$\begin{array}{rcl} \Rightarrow & 3 x^{2} + 12 x + 2 x + 8 = 3 x (x + 4) + 2 (x + 4) \\ = & (3 x + 2) (x + 4) \end{array}$
Hence, factors of the expression are $(3 x + 2)$ and $(x + 4)$ .

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