Question

write a value of k,such that(x-2) is a factor of 2x^3-6x^2+kx-2​

Answer 1

Answer:

k = 5

Step-by-step explanation:

Given : ( x - 2) is a factor of 2x^3 - 6x^2 + kx - 2

So , x - 2 = 0

x = 2

Substituting x = 2 in the given polynomial

2(2)^3 - 6(2)^2 + kx - 2 = 0

2(8) - 6(4) + 2k - 2 = 0

16 - 24 + 2k - 2 = 0

2k - 10 = 0

2k = 10

k = 5

Hope It Helps You