List questions from polynomials

Published on 05 May 2018 - 22:58

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Is $p(x) = x$ a polynomial?

Published on 06 May 2018 - 1:33

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Splitting field of $x^5-1$

Published on 25 Mar 2026 - 11:26

753

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Polynomial Remainder Theorem seems to use divide by zero

Published on 06 May 2018 - 6:46

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How can I do a polynomial long division with complex numbers?

Published on 29 Mar 2026 - 10:46

1.6k

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$f(a) = 0 \implies (x-a) \mid f(x)$? (polynomial zeros imply factors)

Published on 06 May 2018 - 10:20

314

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Isomorphism between two extensions $\Bbb F_2(\alpha)$ and $\Bbb F_2(\beta)$

Published on 25 Mar 2026 - 8:07

680

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Whenever $a+b+c=1$, $\frac{bc+a+1}{a^2+1} + \frac{ac+b+1}{b^2+1} + \frac{ab+c+1}{c^2+1} \le \frac{39}{10}$

Published on 30 Mar 2026 - 15:28

289

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Quotient of ring of formal power series

Published on 30 Mar 2026 - 10:13

71

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Relation involving pairing on polynomial vector space

Published on 25 Mar 2026 - 9:14

429

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$P(z)$ be a monic polynomial with complex co-efficients of degree $n$ such that $|P(z)| \le 1, \forall |z| \le 1$ ; then is $P(z)=z^n$?

Published on 25 Mar 2026 - 7:46

307

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Help with (generalized) eigenspace, Jordan basis, and polynomials

Published on 25 Mar 2026 - 10:52

133

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Non-injective polynomial map $\mathbb{R}^2 \to \mathbb{R}^2$, injective on lines

Published on 20 Mar 2026 - 2:06

225

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If $\lim_{h\to 0} \frac{ f_1(a+ h) - 2f_1(a) + f_1(a-h) }{h^2}$ is constant then is $f_1$ a quadratic function?

Published on 07 May 2018 - 7:52

1.7k

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Find largest possible value

Published on 07 May 2018 - 11:21

List Question

Bounding a simple expression

Is $p(x) = x$ a polynomial?

Splitting field of $x^5-1$

Polynomial Remainder Theorem seems to use divide by zero

How can I do a polynomial long division with complex numbers?

$f(a) = 0 \implies (x-a) \mid f(x)$? (polynomial zeros imply factors)

Isomorphism between two extensions $\Bbb F_2(\alpha)$ and $\Bbb F_2(\beta)$

Whenever $a+b+c=1$, $\frac{bc+a+1}{a^2+1} + \frac{ac+b+1}{b^2+1} + \frac{ab+c+1}{c^2+1} \le \frac{39}{10}$

Quotient of ring of formal power series

Relation involving pairing on polynomial vector space

$P(z)$ be a monic polynomial with complex co-efficients of degree $n$ such that $|P(z)| \le 1, \forall |z| \le 1$ ; then is $P(z)=z^n$?

Help with (generalized) eigenspace, Jordan basis, and polynomials

Non-injective polynomial map $\mathbb{R}^2 \to \mathbb{R}^2$, injective on lines

If $\lim_{h\to 0} \frac{ f_1(a+ h) - 2f_1(a) + f_1(a-h) }{h^2}$ is constant then is $f_1$ a quadratic function?

Find largest possible value

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