Q. 12 B5.0( 9 Votes )
Let us calculate and write the value of k for which x – 3 will be a factor of the polynomial k2x3 – kx2 + 3kx – k.
Answer :
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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