Q12 of 82 Page 130

Let us calculate and write the value of k for which x – 3 will be a factor of the polynomial k2x3 – kx2 + 3kx – k.

We have the polynomial as k2x3 – kx2 + 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.


k2(3)3 – k(3)2 + 3k(3) – k = 0


27k2 – 9k + 9k – k = 0


27k2 – k = 0


k(27k – 1) = 0


k= 0 or


⸫ value of k is 0 or .


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