Question

If x-2 is a factor of x³-6x²+12x-k . Then find the value of k

Answer 1

Answer. 8

step by step

x^3 -6x^2+12x-k = 0

(2)^3 - 6(2)^2 +12(2) - k = 0

8 - 6*4 + 24 -k = 0

8- 24 + 24 - k = 0

8 - k = 0

k = 8