Question

If x-1 is a factor of k^2x^3-4kx-1

Answer 1

Answer:

Step-by-step explanation:

f(x)=k^2x^3-4kx-1

x-1 is a factor of f(x) then

f(1)=0

or k^2*(-1)^3-4k(-1)-1=0

-k^2+4k-1-=0

k^2-4k+1-=0

k=(4±(16-4)^1/2)/2

=(4±√12)/2

=(4±2√3)/2

=2±√3