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

1.	If f(x) = 2x3 - 13x2 + 17x + 12, find (i) f(2) (ii) f(-3) (iii) f(0)
Answer» We have, f(x) = 2x³ - 13x² + 17x +12 (i) f(2) = 2 (2)³ – 13 (2)² + 17 (2) + 12 = (2 x 8) – (13 x 4) + (17 x 2) + 12 = 16 – 52 + 34 + 12 = 10 (ii) f (-3) = 2 (-3)³ – 13 (-3)² + 17 (-3) + 12 = (2 x -27) – (13 x 9) + (17 x -3) + 12 = -54 – 117 – 51 + 12 = - 210 (iii) f (0) = 2 (0)³ – 13 (0)² + 17 (0) + 12 = 0 – 0 + 0 + 12 = 12

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

Answer»

We have,

f(x) = 2x³ - 13x² + 17x +12

(i) f(2) = 2 (2)³ – 13 (2)² + 17 (2) + 12

= (2 x 8) – (13 x 4) + (17 x 2) + 12

= 16 – 52 + 34 + 12

= 10

(ii) f (-3) = 2 (-3)³ – 13 (-3)² + 17 (-3) + 12

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

= -54 – 117 – 51 + 12

= - 210

(iii) f (0) = 2 (0)³ – 13 (0)² + 17 (0) + 12

= 0 – 0 + 0 + 12

= 12