Suppose $P(x)$ is a polynomial of degree $n$ such that $P(k)=\frac{k}{k+1}$ for $k=0,1,2,.....,n$. Find the value of $P(n+1)$.
7199
Suppose that $P(x)$ is a polynomial of degree $n$ such that $P(k)=\dfrac{k}{k+1}$ for $k=0,1,\ldots,n$. Find the value of $P(n+1)$
148949
Find the value of $\sum_{k=1}^{n} k \binom {n} {k}$
13083
If for a polynomial $P(k) = 2^k$ for $k = 0, 1, . . . , n$, what is $P(n+1)$?
132410
Difficult Polynomial Question
129834
Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.
9997
For what powers $k$ is the polynomial $n^k-1$ divisible by $(n-1)^2$?
38014
How to test if a polynomial is cyclotomic, i.e. divide $x^k - 1$ for some $k$?
116204
Polynomial Remainder Question?
127547
Prove that If $f$ is polynomial function of even degree $n$ with always $f\geq0$ then $f+f'+f''+\cdots+f^{(n)}\geq 0$.
33011
Prove that the polynomial $f_n(x)=nx^{n+1}-(n+1)x^n+1$ is divisible by $(x-1)^2$
100278
Find $\alpha^{2016} + \beta^{2016} + \alpha^{2014} + \beta^{2014} \over \alpha^{2015} + \beta^{2015}$ for zeroes of the polynomial $x^2+3x +1$
148545
Degree of interpolation polynomial
135379
Stuck on Polynomial Division Problem
82204
Prove $ \lim_{n\to\infty}\sqrt[n]{p(n)}=1 $ for polynomial
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
40426
Polynomial degree 3 Equation