Question

factorise 2x^3 -11x ^2+17x -6 using factor theorem

Answer 1

Answer:

here is your answer. pls follow me.

Step-by-step explanation:

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 = 62 – 52 = 10

(ii) 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

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