Factorise : $3 n^{2} - 53 n + 232$

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Solution

The given expression is $3 n^{2} - 53 n + 232$

We can factorise the given expression as:
$3 n^{2} - 53 n + 232 \Rightarrow 3 n^{2} - 24 n - 29 n + 232 \Rightarrow 3 n (n - 8) - 29 (n - 8) \Rightarrow (3 n - 29) (n - 8)$

Hence, $3 n^{2} - 53 n + 232 = (3 n - 29) (n - 8)$ .

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3 n^{2} - 53 n + 232 = 0

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