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A simple problem with a simple and a nonsimple solution

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#polynomials #symmetric-polynomials
1.2k
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Is $(\log n)^{\log \log n}$ polynomial-time?

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#polynomials #asymptotics
47
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What techniques are used to find new solutions as perturbations of known solutions?

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#group-theory #algebraic-geometry #polynomials #symmetry
67
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Is there a name for the polynomial $x^n-a$?

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#polynomials #ring-theory #commutative-algebra #field-theory #terminology
42
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Polynomial in algebraic extension as a factor of a different polynomial

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#abstract-algebra #polynomials #field-theory
55
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To prove an inequality of degree 3 polynomilals

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#real-analysis #inequality #polynomials #radicals
84
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Solve $x^3+3x^2-6x-88\equiv0\bmod{402}$

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#polynomials #modular-arithmetic #congruences
7.8k
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Find $xy+yz+zx$ given systems of three homogenous quadratic equations for $x, y, z$

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#algebra-precalculus #polynomials #contest-math #systems-of-equations
193
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Prove that $\sqrt{x^2+yz}+\sqrt{y^2+xz}+\sqrt{z^2+xy} \le 3$

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#inequality #polynomials #radicals #symmetric-polynomials #cauchy-schwarz-inequality
103
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Show that $x^n + ax + p$ is irreducible, $p$ prime, $a \in \mathbb Z, \lvert a \rvert < p - 1$

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#abstract-algebra #polynomials #irreducible-polynomials
300
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Showing that $ 1 + 2 x + 3 x^2 + 4 x^3 + \cdots + x^{10} = (1 + x + x^2 + x^3 + x^4 + x^5)^2$

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#algebra-precalculus #polynomials #factoring
230
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Solve the equation $ { \sqrt{4+\sqrt{4+\sqrt{4-x}}}}=x $

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#algebra-precalculus #trigonometry #polynomials #complex-numbers
50
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higher order polynomials

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#polynomials #cubics
42
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Find all polynomial solutions $f\in \mathbb{C}[X]$ to an equation

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#polynomials #functional-equations
1k
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How to solve 8 degree polynomial?

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#polynomials

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