Q. 45.0( 1 Vote )
By division process, find the value of k for which x – 1 is a factor of x3 – 6x2 + 11x + k.
Answer :
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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