Question

If x-4 is a factor of x cube +2x square -3kx-8.Find k

Answer 1

Answer:

K = 2

Step-by-step explanation:

P(x)  =  x³ +2x² - 3kx  - 8

( x - 4 ) is a factor

P (4)  = 0

(4)³ - 2 (4)² - 3k (4) - 8  = 0

64 - 32 - 12 k  - 8  = 0

          24 - 12 k     = 0

                12 k  = 24

                  k  = 24 /12

                      = 2