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

(i) f(2) (ii) f(-3) (iii) f(0)

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Solution

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

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

= $2 \times 8 - 13 \times 4 + 17 \times 2 + 12$

=16 - 52 + 34 +12

=62 - 52 = 10

(ii) f(-3) = $2 (- 3)^{3} - 13 (- 3)^{2} + 17 \times (- 3)$ +12

= $2 \times (- 27) - 13 \times 9 + 17 \times$ (-3) + 12

= - 222 + 12 = - 210

(iii) f(0) = 2 $\times (0)^{3} - 13 (0)^{2} + 17 \times$ 0+ 12

= 0 - 0 + 0 + 12 = 12

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