Question

If $P$ is a polynomial with $P(3)=10$ and $P(1)=1$, then why can't all the coefficients of $P$ be integers?

score 2.8k · Answer 1 · 2018-03-19 22:19:52

2.8k

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If $P$ is a polynomial with $P(3)=10$ and $P(1)=1$, then why can't all the coefficients of $P$ be integers?

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score 74 · Answer 15 · 2018-03-21 11:16:11

74

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List Question

If $P$ is a polynomial with $P(3)=10$ and $P(1)=1$, then why can't all the coefficients of $P$ be integers?

Bounding the error in Taylor polynomials

An embedding of a real line $L$ into $\mathbb{R}^2$ not extendible to an automorphism

Counting ring homomorphisms from $ \mathbb{Q}[X]/(X^{3}-1) \rightarrow \mathbb{C} $

Formula for $1/f(x)$ where $f$ is a polynomial

Are there infinite many positive integers $n$ such that $n^2 + n +1$ is prime?

Prove the given equality for every polynomial

Show that $v$ is a eigenvector of $q(A)$ with respect to $p(\lambda)$.

Factoring polynomials again

A special case where an odd polynomial is a one-one map on $\mathbb{R}$

Show that the given polynomial has distinct roots.

A criterion for embedding $\mathbb{Z}$ in $\mathbb{Z}^2$

A polynomial problem, Source: AOPS

Is there a Routh–Hurwitz stability criterion theorem for positive roots of a polynomial?

$\sum(\log^2(root))$ of an nth order polynomial.

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