Question

Minimum polynomial of $\sqrt[3]{9} + \sqrt[3]{3} - 1$ over $\mathbb{Q}$

score 193 · Answer 1 · 2026-04-16 13:44:49

193

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Minimum polynomial of $\sqrt[3]{9} + \sqrt[3]{3} - 1$ over $\mathbb{Q}$

Published on 16 Apr 2026 - 13:44

score 61 · Answer 2 · 2026-04-09 03:45:16

61

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Is the speed of sound modelled by a linear equation?

Published on 09 Apr 2026 - 3:45

score 59 · Answer 3 · 2026-04-15 12:25:19

59

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Irreducible in $S^{-1}R$ implies numerator irreducible in R?

Published on 15 Apr 2026 - 12:25

score 56 · Answer 4 · 2026-04-14 04:12:27

56

Views

How to convert a nonstandard expression to form $(x-b)^2$

Published on 14 Apr 2026 - 4:12

score 551 · Answer 5 · 2026-04-17 05:16:54

551

Views

Number of right isosceles triangles that can be formed with points lying on the curve $8x^3+y^3+6xy=1$

Published on 17 Apr 2026 - 5:16

score 365 · Answer 6 · 2026-04-17 04:04:49

365

Views

System of equations from roots of polynomial

Published on 17 Apr 2026 - 4:04

score 110 · Answer 7 · 2026-04-14 17:42:16

110

Views

How do I solve $(1/4)^{x+1}+(1/4)^x=20$?

Published on 14 Apr 2026 - 17:42

score 101 · Answer 8 · 2026-04-12 14:29:54

101

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Finding specific values of $n$ such that $n^2+3n+3$ is factorisable with certain constraints on the factors

Published on 12 Apr 2026 - 14:29

score 143 · Answer 9 · 2026-04-16 07:28:32

143

Views

Prove for every positive real number $x$ that $1+\frac{1}{x^4}\geq\frac{1}{x}+\frac{1}{x^3}$

Published on 16 Apr 2026 - 7:28

score 114 · Answer 10 · 2026-04-15 16:26:34

114

Views

Prove that $5^{2^n}−1$ contains exactly $n+2$ factors $2$

Published on 15 Apr 2026 - 16:26

score 833 · Answer 11 · 2026-04-14 04:01:33

833

Views

Can you factor a difference of squares in matrices? Is $A^2 - B^2 = (A+B)(A-B)$?

Published on 14 Apr 2026 - 4:01

score 157 · Answer 12 · 2026-04-15 21:12:41

157

Views

Can I factorize $x^4 + 27x$ without using the factor theorem?

Published on 15 Apr 2026 - 21:12

score 108 · Answer 13 · 2026-04-15 11:17:52

108

Views

Output register in Shor's algorithm

Published on 15 Apr 2026 - 11:17

score 114 · Answer 14 · 2026-04-15 02:56:07

114

Views

How can I factor a polynomial $(x+1)^n+(x-1)^n$?

Published on 15 Apr 2026 - 2:56

score 107 · Answer 15 · 2026-04-17 06:13:21

107

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Define $f(x) = x^6 + x^5 + 3x^4 +x^3 + 3x^2 + x + 1$. Find the largest prime factor of $f(19) + 1$ (Homework)

Published on 17 Apr 2026 - 6:13

List Question

Minimum polynomial of $\sqrt[3]{9} + \sqrt[3]{3} - 1$ over $\mathbb{Q}$

Is the speed of sound modelled by a linear equation?

Irreducible in $S^{-1}R$ implies numerator irreducible in R?

How to convert a nonstandard expression to form $(x-b)^2$

Number of right isosceles triangles that can be formed with points lying on the curve $8x^3+y^3+6xy=1$

System of equations from roots of polynomial

How do I solve $(1/4)^{x+1}+(1/4)^x=20$?

Finding specific values of $n$ such that $n^2+3n+3$ is factorisable with certain constraints on the factors

Prove for every positive real number $x$ that $1+\frac{1}{x^4}\geq\frac{1}{x}+\frac{1}{x^3}$

Prove that $5^{2^n}−1$ contains exactly $n+2$ factors $2$

Can you factor a difference of squares in matrices? Is $A^2 - B^2 = (A+B)(A-B)$?

Can I factorize $x^4 + 27x$ without using the factor theorem?

Output register in Shor's algorithm

How can I factor a polynomial $(x+1)^n+(x-1)^n$?

Define $f(x) = x^6 + x^5 + 3x^4 +x^3 + 3x^2 + x + 1$. Find the largest prime factor of $f(19) + 1$ (Homework)

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