Question

find the value of K, if 2x - 1 is a factor of the polynomial 6x2 - Kx - 2

Answer 1

k=1 is the answer .........

Answer 2

hello friend, 
here is your answer,

2x - 1 = 0 
2x = 1 
x = 1/2

we know, 
p(x) = 6x^2 - kx - 2

now, p(1/2) = 6(1/2)^2 - k * 1/2 - 2
                   = 6(1/4)  -  k/2 - 2
                   = 3/2 - k/2 -2
                   = 3 - k - 4/ 2 
                   =    -1-k / 2
                2 =    -1 -k
          2 + 1 = -k
               3 = -k
so, k = -3

thank you.