Question

A particular cubic can be written as $y_1^2 = (x_1 - e_1)(x_1 - e_2)(x_1 - e_3)$. Show that $e_1, e_2,$ and $e_3$ are distinct.

score 63 · Answer 1 · 2026-04-16 02:27:52

63

Views

A particular cubic can be written as $y_1^2 = (x_1 - e_1)(x_1 - e_2)(x_1 - e_3)$. Show that $e_1, e_2,$ and $e_3$ are distinct.

Published on 16 Apr 2026 - 2:27

score 23 · Answer 2 · 2026-04-15 11:31:55

23

Views

Compute a polynomial with a specific root by composing a set of other polynomials

Published on 15 Apr 2026 - 11:31

score 39 · Answer 3 · 2026-04-09 09:51:54

39

Views

A discrepancy in understanding another formula.

Published on 09 Apr 2026 - 9:51

score 28 · Answer 4 · 2026-04-14 23:33:34

28

Views

Generalisation of remainder thereom

Published on 14 Apr 2026 - 23:33

score 41 · Answer 5 · 2026-04-13 09:31:20

41

Views

positiveness of degree 6,8,10,12 polynomials

Published on 13 Apr 2026 - 9:31

score 56 · Answer 6 · 2026-04-16 03:45:00

56

Views

Units, Primes and Irreducibles

Published on 16 Apr 2026 - 3:45

score 90 · Answer 7 · 2026-04-17 05:37:06

90

Views

Find the last three digits of $p$ if the equations $x^6 + px^3 + q = 0$ and $x^2 + 5x - 10^{2013} = 0$ have common roots.

Published on 17 Apr 2026 - 5:37

score 141 · Answer 8 · 2026-04-12 12:43:45

141

Views

Why do we only consider homogeneous invariants?

Published on 12 Apr 2026 - 12:43

score 135 · Answer 9 · 2026-04-14 10:52:09

135

Views

Bound for roots of a polynomial with coefficients in a non-Archimedean valued field

Published on 14 Apr 2026 - 10:52

score 94 · Answer 10 · 2026-04-11 20:05:00

94

Views

How to solve cubic polynomial algebraically?

Published on 11 Apr 2026 - 20:05

score 364 · Answer 11 · 2026-04-12 07:37:56

364

Views

How to expand a vector to its monomial basis?

Published on 12 Apr 2026 - 7:37

score 68 · Answer 12 · 2026-04-12 19:05:56

68

Views

A question on polynomials and functional equations.

Published on 12 Apr 2026 - 19:05

score 144 · Answer 13 · 2026-04-14 06:34:28

144

Views

Inverse function of $ax + bx^3$

Published on 14 Apr 2026 - 6:34

score 282 · Answer 14 · 2026-04-16 09:19:38

282

Views

When does $V(f)\supseteq V(g)$ imply that $g$ divides $f$?

Published on 16 Apr 2026 - 9:19

score 153 · Answer 15 · 2026-04-12 18:46:39

Proof that real coefficents polynomials of degree 3 and higher can be factorized into real linear and quadratic factors

List Question

A particular cubic can be written as $y_1^2 = (x_1 - e_1)(x_1 - e_2)(x_1 - e_3)$. Show that $e_1, e_2,$ and $e_3$ are distinct.

Compute a polynomial with a specific root by composing a set of other polynomials

A discrepancy in understanding another formula.

Generalisation of remainder thereom

positiveness of degree 6,8,10,12 polynomials

Units, Primes and Irreducibles

Find the last three digits of $p$ if the equations $x^6 + px^3 + q = 0$ and $x^2 + 5x - 10^{2013} = 0$ have common roots.

Why do we only consider homogeneous invariants?

Bound for roots of a polynomial with coefficients in a non-Archimedean valued field

How to solve cubic polynomial algebraically?

How to expand a vector to its monomial basis?

A question on polynomials and functional equations.

Inverse function of $ax + bx^3$

When does $V(f)\supseteq V(g)$ imply that $g$ divides $f$?

Proof that real coefficents polynomials of degree 3 and higher can be factorized into real linear and quadratic factors

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