Question

Where is the flaw in my reasoning about the number of irreducible degree 9 polynomials over $\mathbb F_2$?

score 106 · Answer 1 · 2026-03-25 11:24:31

Where is the flaw in my reasoning about the number of irreducible degree 9 polynomials over $\mathbb F_2$?

Published on 25 Mar 2026 - 11:24

score 285 · Answer 2 · 2018-06-06 09:52:12

If two polynomials over integers are equivalent, are the same polynomial expressions defined over positive integers also equivalent?

score 41 · Answer 3 · 2018-06-06 12:17:24

41

Views

How do I solve the polynomial exercise?

Published on 06 Jun 2018 - 12:17

score 152 · Answer 4 · 2026-03-29 20:55:02

152

Views

Proving a quotient ring is a field.

Published on 29 Mar 2026 - 20:55

score 53 · Answer 5 · 2026-03-25 11:18:46

53

Views

Showing a polynomial is irreducible.

Published on 25 Mar 2026 - 11:18

score 37 · Answer 6 · 2018-06-06 15:01:41

37

Views

Confusing situation while determining the range of a function containing a quadratic expression.

Published on 06 Jun 2018 - 15:01

score 94 · Answer 7 · 2026-03-25 01:28:51

94

Views

Find a value of $c$ in $f(x)=x^3-4x^2+6x-c$ which satisfies specified condition

Published on 25 Mar 2026 - 1:28

score 130 · Answer 8 · 2026-03-25 23:38:02

130

Views

Independence of shifted squares mod p

Published on 25 Mar 2026 - 23:38

score 50 · Answer 9 · 2018-06-06 19:00:17

50

Views

Polynomial that gives specific remainder

Published on 06 Jun 2018 - 19:00

score 134 · Answer 10 · 2026-03-25 09:49:26

134

Views

Is the set of coefficients connected for monic polynomial with roots bounded by some interval?

Published on 25 Mar 2026 - 9:49

score 192 · Answer 11 · 2026-03-25 11:20:18

192

Views

Topological property of preimage of map $f$ taking the coefficients of characteristic polynomial?

Published on 25 Mar 2026 - 11:20

score 114 · Answer 12 · 2026-03-25 01:28:53

114

Views

Finding the value of $a+2b+3c$ where $a,b,c$ are roots of a cubic equation.

Published on 25 Mar 2026 - 1:28

score 71 · Answer 13 · 2018-06-07 06:34:30

If α and β are 2 roots of $a \tan θ+b \sec θ=c$ then how the roots of $(a^2-b^2)\tan^2θ-2ac \tanθ+(c^2-b^2)=0$ are $\tan α$ and $\tan β$?

score 1.1k · Answer 14 · 2026-03-25 04:35:56

1.1k

Views

Why Hamiltonian cycle decision problem in NP-complete?

Published on 25 Mar 2026 - 4:35

score 48 · Answer 15 · 2026-03-26 09:42:33

48

Views

Families of quadratic polynomials over $\mathbb{F}_p$

Published on 26 Mar 2026 - 9:42

List Question

Where is the flaw in my reasoning about the number of irreducible degree 9 polynomials over $\mathbb F_2$?

If two polynomials over integers are equivalent, are the same polynomial expressions defined over positive integers also equivalent?

How do I solve the polynomial exercise?

Proving a quotient ring is a field.

Showing a polynomial is irreducible.

Confusing situation while determining the range of a function containing a quadratic expression.

Find a value of $c$ in $f(x)=x^3-4x^2+6x-c$ which satisfies specified condition

Independence of shifted squares mod p

Polynomial that gives specific remainder

Is the set of coefficients connected for monic polynomial with roots bounded by some interval?

Topological property of preimage of map $f$ taking the coefficients of characteristic polynomial?

Finding the value of $a+2b+3c$ where $a,b,c$ are roots of a cubic equation.

If α and β are 2 roots of $a \tan θ+b \sec θ=c$ then how the roots of $(a^2-b^2)\tan^2θ-2ac \tanθ+(c^2-b^2)=0$ are $\tan α$ and $\tan β$?

Why Hamiltonian cycle decision problem in NP-complete?

Families of quadratic polynomials over $\mathbb{F}_p$

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