If `p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1))`is a polomial in `x – InterviewSolution

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1.	If `p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1))`is a polomial in `x`, then find possible value of `ndot`
Answer» Correct Answer - n is odd `p(x)=((1-x^(2n))/(1-x^(2)))((1-x)/(1-x^(n))=(1+x^(n))/(1+x))` As p(x) is a polynomial , x=-1 must be a zero of `1+x^(n)`, i.e., `1+(-1)^(n)=0`. Hence, n is odd.

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