Factor it completely $7 x^{2} - 31 x - 20$ :

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Solution

Factoring the given expression.
Given, $7 x^{2} - 31 x - 20$
$\begin{array}{rcl} 7 x^{2} - 31 x - 20 & = & 7 x^{2} - 35 x + 4 x - 20 \\ = & 7 x (x - 5) + 4 (x - 5) \\ = & (7 x + 4) (x - 5) \end{array}$
Hence, the factors of $7 x^{2} - 31 x - 20$ are $(7 x + 4) (x - 5)$ .

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