If $f (x) = 2 x^{3} - 13 x^{2} + 17 x + 12$ , find
$(i) f (2)$
$(i i) f (- 3)$

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Solution

$f (x) = 2 x^{3} - 13 x^{2} + 17 x + 12$
$(i) f (2) = 2 (2)^{3} - 13 (2)^{2} + 17 (2) + 12$
$= 16 - 52 + 34 + 12 = 10$

$(i i) f (- 3) = 2 (- 3)^{3} - 13 (- 3)^{2} + 17 (- 3) + 12$
$f (- 3) = - 54 - 117 - 51 + 12 = - 210$

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