Question

If (x -2) is a factor of x ^3 - 4x ^2 + kx -8 find k.

Answer 1

Answer:

k = 8

Step-by-step explanation:

( x - 2 ) = x = 2

substitute in equation :

( 2 )^3 - 4 ( 2 )^2 + k ( 2 ) - 8 = 0

8 - 16 + 2k  - 8 = 0

8 - 16 - 8 + 2k = 0

- 16 + 2k = 0

2k = 0 + 16

2k = 16

k = 16/2

k = 8

hope it helps