Question

If f(x) = 2x³-13x²+17x+12, find
(i) f(2) (ii) f(-3) (iii) f(0)

Answer 1

Given : If f(x) = 2x³ - 13x² + 17x + 12

(i) On putting  x = 2 in  f (x).

f(2) = 2(2)³ – 13(2)² + 17(2) + 12

= 2 x 8 - 13 × 4 + 17 × 2 + 12

= 16 – 52 + 34 + 12

= 62 – 52

= 10

Hence, f(2) = 10

(ii) On putting  x = - 3 in  f (x).

f(-3) = 2(- 3)³ - 13(- 3)² + 17 x (- 3)  + 12

= 2 x (-27) - 13 x 9 + 17 x (- 3) + 12

= - 54 - 117 - 51 + 12

= - 222 + 12

= - 210

Hence, f(- 3) = - 210

(iii) On putting  x = 0 in  f (x).

f(0) = 2 x (0)³ -  13(0)²  + 17 ×  0 + 12

= 0 - 0 + 0 + 12

= 12

Hence, f(0) = 12

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Answer 2

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