query: When does a polynomial interpolated from $n+1$ points have exactly degree $n$?
positive_passages.docid: 148545
positive_passages.text: Degree of interpolation polynomial
negative_passages.docid: 83036
negative_passages.text: f(g(x)) has a degree divisible by n
negative_passages.docid: 156034
negative_passages.text: sufficient condition for a polynomial to have roots in $[0,1]$
negative_passages.docid: 146734
negative_passages.text: Find a second degree polynomial that goes through 3 points
negative_passages.docid: 157266
negative_passages.text: Can a nonzero polynomial evaluate to the zero function in a suitable infinite ring of char 0?
negative_passages.docid: 124460
negative_passages.text: Show that if $f \in \mathbb{C} \left[x_1, \dots, x_n \right]$ vanishes at every point of $\mathbb{Z}^n$, then $f$ is the zero polynomial.
negative_passages.docid: 155559
negative_passages.text: Quickest way to determine a polynomial with positive integer coefficients
negative_passages.docid: 103948
negative_passages.text: Minimal polynomial is invariant under field extensions
negative_passages.docid: 130729
negative_passages.text: Polynomial extrapolation
negative_passages.docid: 134342
negative_passages.text: Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
negative_passages.docid: 152347
negative_passages.text: Proof that a certain entire function is a polynomial
negative_passages.docid: 93084
negative_passages.text: Get polynomial interpolation formula
negative_passages.docid: 147429
negative_passages.text: Set of points in $\mathbb{C}$ s.t. $z^{n-1} = \overline z$
negative_passages.docid: 7199
negative_passages.text: 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 $P(n+1)$
negative_passages.docid: 114146
negative_passages.text: Polynomial in $n$ variables
negative_passages.docid: 82295
negative_passages.text: Showing that the minimal polynomial of an $n \times n$ matrix has degree at most $n$ without using the Cayley-Hamilton Theorem
negative_passages.docid: 83784
negative_passages.text: Fixed Point of $x_{n+1}=i^{x_n}$