Factorize $x^{2} - 12 x - 45$ and find its value for $x = 3.$

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-45

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-72

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Solution

The correct option is C
-72

The algebraic expression is $x^{2} - 12 x - 45$ .

Or $x^{2} - 15 x + 3 x - 45$

Or $x (x - 15) + 3 (x - 15)$

Or $(x + 3) (x - 15)$

For $x = 3,$ the value is

$(3 + 3) \times (3 - 15)$

$(6) \times (- 12) = - 72$

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