If $f (x) = 3 x^{3} - 5 x^{2} + 7,$ then $f (- 2) + f (2)$ is:

- 26

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26

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74

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- 74

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Solution

The correct option is A $- 26$
$f (x) = 3 x^{3} - 5 x^{2} + 7$

$f (- 2) = 3 (- 2)^{3} - 5 (- 2)^{2} + 7$
$= - 24 - 20 + 7 = - 37$

$f (2) = 3 (2)^{3} - 5 (2)^{2} + 7$
$= 24 - 20 + 7 = 11$

$f (- 2) + f (2) = - 37 + 11 = - 26$

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