Q4 of 90 Page 2

By division process, find the value of k for which x – 1 is a factor of x3 – 6x2 + 11x + k.


On dividing x3 – 6x2 + 11x + k by x – 1 we get,



Since x – 1 is a factor of x3 – 6x2 + 11x + k,


This means x – 1 divides the given polynomial completely.


→ 6 x + k = 0


→ k = – 6x


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