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Algebraic Identities

Let f x = x...

Question

Let $f (x) = x^{3} - {3 x}^{2} + 3 x + 1$ Then find $f (5)$

A

66

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B

67

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C

68

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D

69

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Solution

The correct option is A 66
$f (x) = x^{3} - 3 x^{2} + 3 x + 1 f (5) = 5^{3} - 3 (5)^{2} + 3 (5) + 1 f (5) = 125 - 75 + 15 + 1 f (5) = 66$

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