List questions from polynomials

Published on 02 Apr 2026 - 15:58

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Interpolation with a new point of $f'$

Published on 01 Apr 2026 - 13:42

74

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Find the inverse matrix as a function of M

Published on 01 Dec 2018 - 19:09

617

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Compute the irreducible polynomials over Q for $a=\sqrt{2}+\sqrt{5}$ and $b=\sqrt[3]{2}+\sqrt{5}$

Published on 26 Mar 2026 - 6:06

97

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How to solve equations where the power of $x$ is a function of $x$?

Published on 24 Mar 2026 - 23:46

60

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Polynomial of the nth degree and its elements.

Published on 02 Dec 2018 - 8:29

80

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Is it possible for quadratic functions $f, g, h$ that $f(g(h(x))) = 0$ to have roots as $1,2,3,4,5,6,7,8$?

Published on 02 Dec 2018 - 8:30

139

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Primes dividing $x^2+xy+y^2+1$

Published on 02 Apr 2026 - 15:49

169

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A polynomial $p(x) \in \Bbb R_{2n-1}[x]$, $p(0) = 0$, $p(x) \geq 0 \ \forall x \geq 0$, can be written as $p(x) = xq_1(x)^2 + q_2(x)^2$

Published on 01 Apr 2026 - 17:07

175

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Find all natural numbers $n$, such that polynomial $n^7+n^6+n^5+1$ would have exactly 3 divisors.

Published on 02 Dec 2018 - 18:36

70

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Prove that $P_{f}(X) = \prod_{i=1}^{l} (X - a_i)^{n_i} \prod_{j=1}^{m} (X^2 + a_jX + b_j)^{q_j} $.

Published on 03 Apr 2026 - 9:21

226

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Splitting fields for $x^3-3$ and $x^5-1$

Published on 30 Mar 2026 - 3:00

56

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Polynomial divisor in $\mathbb{Z}_p[x]$?

Published on 28 Mar 2026 - 20:53

64

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When do integers satisfy simple quadratic relation?

Published on 25 Mar 2026 - 12:30

32

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Square of a polynomial has non negative coefficients implies that the polynomial has non negative coefficients?

Published on 03 Dec 2018 - 7:24

List Question

Primes of the form $p=x^4+y^4$

Interpolation with a new point of $f'$

Find the inverse matrix as a function of M

Compute the irreducible polynomials over Q for $a=\sqrt{2}+\sqrt{5}$ and $b=\sqrt[3]{2}+\sqrt{5}$

How to solve equations where the power of $x$ is a function of $x$?

Polynomial of the nth degree and its elements.

Is it possible for quadratic functions $f, g, h$ that $f(g(h(x))) = 0$ to have roots as $1,2,3,4,5,6,7,8$?

Primes dividing $x^2+xy+y^2+1$

A polynomial $p(x) \in \Bbb R_{2n-1}[x]$, $p(0) = 0$, $p(x) \geq 0 \ \forall x \geq 0$, can be written as $p(x) = xq_1(x)^2 + q_2(x)^2$

Find all natural numbers $n$, such that polynomial $n^7+n^6+n^5+1$ would have exactly 3 divisors.

Prove that $P_{f}(X) = \prod_{i=1}^{l} (X - a_i)^{n_i} \prod_{j=1}^{m} (X^2 + a_jX + b_j)^{q_j} $.

Splitting fields for $x^3-3$ and $x^5-1$

Polynomial divisor in $\mathbb{Z}_p[x]$?

When do integers satisfy simple quadratic relation?

Square of a polynomial has non negative coefficients implies that the polynomial has non negative coefficients?

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