query: Why is a polynomial with infinite zeropoints the zeropolymomial?
positive_passages.docid: 127056
positive_passages.text: How to prove that a polynomial of degree $n$ has at most $n$ roots?
negative_passages.docid: 42988
negative_passages.text: Complex polynomial and the unit circle
negative_passages.docid: 134699
negative_passages.text: Can *any* real polynomial be factored linearly (plus a constant) over $\mathbb{R}$?
negative_passages.docid: 42265
negative_passages.text: A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
negative_passages.docid: 56068
negative_passages.text: What actually is a polynomial?
negative_passages.docid: 27540
negative_passages.text: A polynomial can not have infinite number of constant values
negative_passages.docid: 6484
negative_passages.text: Polynomials in one variable with infinitely many roots.
negative_passages.docid: 122737
negative_passages.text: How to understand why $x^0 = 1$, where $x$ is any real number?
negative_passages.docid: 146837
negative_passages.text: Why “characteristic zero” and not “infinite characteristic”?
negative_passages.docid: 45117
negative_passages.text: How does polynomial long division work?
negative_passages.docid: 14836
negative_passages.text: A polynomial sequence
negative_passages.docid: 40502
negative_passages.text: The Degree of Zero Polynomial.
negative_passages.docid: 40014
negative_passages.text: A polynomial that is zero on an open set
negative_passages.docid: 153107
negative_passages.text: Does every connected component of $\{z : |P(z)|<1 \}$ contain a zero?
negative_passages.docid: 154373
negative_passages.text: How many irreducible monic quadratic polynomials are there in $\mathbb{F}_p[X]$?
negative_passages.docid: 99000
negative_passages.text: No polynomial with integer coefficients satisfies the conditions
negative_passages.docid: 76955
negative_passages.text: Proof the Legendre polynomial $P_n$ has $n$ distinct real zeros