Answer :

We have the polynomial as k^{2}x^{3} – kx^{2} + 3kx – k.

Given that x - 3 is the factor of the polynomial, which means that x = 3 is the root of the polynomial.

So f(3) = 0.

k^{2}(3)^{3} – k(3)^{2} + 3k(3) – k = 0

27k^{2} – 9k + 9k – k = 0

27k^{2} – k = 0

k(27k – 1) = 0

k= 0 or

⸫ value of k is 0 or .

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