Given that:
(x-1) is a factor of k²x⁴-3kx²+2
Solving for k
To solve for k, we are going to equate the factor to zero and solve for x. After that, we substitute the value of x it into the equation , k²x⁴-3kx²+2=0 and solve for k.
Therefore,
Substitute x = 1, into the equation and solve for k
Simplifying the equation above
Factorizing the equation
Hence, the possible values of k are,