Question

find the value of k if 2x-1 is a factor of 2x³- 4x+kx-1​

Answer 1

Answer:

11/2

Step-by-step explanation:

zero of the polynomial 2x-1 is 1/2

putting x=1/2 in 2x^3 -4x + kx - 1 we get,

p(x) = 2(1/2)^3 - 4(1/2) + k(1/2) - 1

=> 1/4 - 2 + k/2 - 1

=> -11/4 + k/2

Now since 2x-1 is a factor of p(x) we have

-11/4 + k/2 = 0

=> k/2 = 11/4

=> k = 11/2