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Applying Vieta's Formulas generally

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#polynomials #roots
24
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Fraction simplification in polynomial

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#polynomials #fractions
60
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Algorithm for multivariate polynomial system

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#polynomials #algorithms #systems-of-equations
157
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Correct interpretation of solubility by radicals.

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#abstract-algebra #group-theory #polynomials #field-theory #galois-theory
80
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$P(x)$ doesn't have a rational root?

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#polynomials #roots #rational-numbers
4.1k
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Prove that every even degree polynomial function has a maximum or minimum in $\mathbb{R}$

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#real-analysis #functions #polynomials #maxima-minima
76
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$P(Q(x))$ is also irreducible

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#polynomials #irreducible-polynomials
213
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Quadratic integer polynomial is always composite?

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#polynomials #prime-numbers #irreducible-polynomials #integers
248
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For any integer $p \ge 3$, the largest integer $r$ such that $(x-1)^r$ is a factor of the polynomial $2x^{p+1}-p(p+1)x^2+2(p^2-1)x-p(p-1)$

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#polynomials #roots #factoring
481
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Is a rational function a Laurent polynomial?

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#abstract-algebra #polynomials #rational-functions
63
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Find coordinates of polynom $Q$ with respect to basis $B$

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#linear-algebra #polynomials #vector-spaces
237
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Determine the coordinates of a polynomial with respect to a basis

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#linear-algebra #polynomials
287
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First ODEs Nonlinear Polynomial

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#ordinary-differential-equations #polynomials #nonlinear-system
374
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Determining maximal ideals of a quotient polynomial ring

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#abstract-algebra #polynomials #ring-theory #commutative-algebra
56
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Let $K$ be a subfield of $\mathbb {C}$ and let $L$ be the splitting field of $t^n-1$ over $K$. When is the Galois group of $L:K$ abelian?

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#abstract-algebra #proof-verification #polynomials #field-theory #galois-theory

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