List questions from polynomials

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Freaky dots in the complex plane

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Why does the long division method not work when trying to find GCD of 2 polynomials that have an actual GCD of 1?

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Decomposing bivariate quadratic form into sum of two squares

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Complex analysis: show for non constant polynomial that p(C)=C

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Find Taylor Polynomial order 5 of $f(x) = \frac{1}{(1-x)}$, at $a = 0$

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How to show that two trigonometric polynomials of degree $n$ combined have at most $2n$ zeros?

Published on 14 Apr 2026 - 5:05

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Polynomial Roots with no complex roots

Published on 17 Apr 2026 - 8:58

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factoring a polynomial which cannot be done with rational root test.

Published on 12 Apr 2026 - 5:28

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$x_i=\prod_{j \neq i}x_j$ for $i=1,2,..,6$

Published on 16 Apr 2026 - 9:02

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What is the correct way to solve the equation: $x^4-x^3+x^2-x+1=0$

Published on 17 Apr 2026 - 15:28

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Factorise of polynomial

Published on 09 Apr 2026 - 21:19

58

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Number of roots of $p_n-\lambda p_{n-1}$ where $p_n$ are orthogonal polynomials

Published on 25 Mar 2026 - 3:21

76

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$p(x)$ be a polynomial and $f(x)= \frac{1}{p(x)}$. Show that $f(x)$ is uniformly continuous.

Published on 15 Apr 2026 - 7:29

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Reed,Simon Theorem XII.1: Use of recursive substitution in the proof

Published on 16 Apr 2026 - 1:40

List Question

Solve for x: $x^3-\lfloor x\rfloor=5$

Freaky dots in the complex plane

Why does the long division method not work when trying to find GCD of 2 polynomials that have an actual GCD of 1?

Decomposing bivariate quadratic form into sum of two squares

Complex analysis: show for non constant polynomial that p(C)=C

Find Taylor Polynomial order 5 of $f(x) = \frac{1}{(1-x)}$, at $a = 0$

How to show that two trigonometric polynomials of degree $n$ combined have at most $2n$ zeros?

Polynomial Roots with no complex roots

factoring a polynomial which cannot be done with rational root test.

$x_i=\prod_{j \neq i}x_j$ for $i=1,2,..,6$

What is the correct way to solve the equation: $x^4-x^3+x^2-x+1=0$

Factorise of polynomial

Number of roots of $p_n-\lambda p_{n-1}$ where $p_n$ are orthogonal polynomials

$p(x)$ be a polynomial and $f(x)= \frac{1}{p(x)}$. Show that $f(x)$ is uniformly continuous.

Reed,Simon Theorem XII.1: Use of recursive substitution in the proof

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