Question

Prove that these sets of polynomials have real and distinct roots.

score 261 · Answer 1 · 2026-03-25 01:27:26

261

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Prove that these sets of polynomials have real and distinct roots.

Published on 25 Mar 2026 - 1:27

score 54 · Answer 2 · 2018-12-21 13:59:33

54

Views

Mass of polynomial away from zeros

Published on 21 Dec 2018 - 13:59

score 246 · Answer 3 · 2026-03-27 19:40:04

246

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Primitive Trinomial for $82589933$?

Published on 27 Mar 2026 - 19:40

score 166 · Answer 4 · 2018-12-21 23:29:16

166

Views

adding a constant to a polynomial so all its roots are real.

Published on 21 Dec 2018 - 23:29

score 362 · Answer 5 · 2026-03-25 12:16:16

362

Views

I am learning to solve cubic equation by Cardano's method

Published on 25 Mar 2026 - 12:16

score 110 · Answer 6 · 2026-04-01 18:27:44

110

Views

Asymptotics of a root

Published on 01 Apr 2026 - 18:27

score 677 · Answer 7 · 2026-03-26 07:35:37

677

Views

A real polynomial of degree more than or equal to 3 is reducible, but does it necessarily have a real zero?

Published on 26 Mar 2026 - 7:35

score 355 · Answer 8 · 2026-03-30 03:01:10

355

Views

When a polynomial quotient algebra is semi-simple

Published on 30 Mar 2026 - 3:01

score 113 · Answer 9 · 2026-03-28 23:57:34

113

Views

Why does this Polynomial have two valid factored forms?

Published on 28 Mar 2026 - 23:57

score 68 · Answer 10 · 2026-04-06 08:07:06

68

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When $\mathbb{C}(f(t),g(t))=\mathbb{C}(t)$ implies that $\mathbb{C}[f(t),g(t)]=\mathbb{C}[t]$?

Published on 06 Apr 2026 - 8:07

score 64 · Answer 11 · 2026-04-01 05:15:49

64

Views

Why the Graph of the function $f(x)=\frac{x^2-3x+2}{x^2+2x-3}$ has not excluded $\frac{-1}{4}$ from the Range

Published on 01 Apr 2026 - 5:15

score 593 · Answer 12 · 2026-04-02 04:14:22

593

Views

Every quadratic polynomial is conjugate to one of the polynomial $z^2+t$

Published on 02 Apr 2026 - 4:14

score 77 · Answer 13 · 2026-04-08 14:33:33

77

Views

About partial fraction decomposition in Michael Spivak's "Calculus". Why degree 8?

Published on 08 Apr 2026 - 14:33

score 919 · Answer 14 · 2018-12-23 10:50:25

A polynomial is exactly divided by$ x+1$, and when it is divided by $3x-1$, the remainder is $4$... (continued in post)

score 567 · Answer 15 · 2026-03-26 07:33:29

567

Views

Proving a quartic polynomial irreducible by Eisenstein (or other ways)

Published on 26 Mar 2026 - 7:33

List Question

Prove that these sets of polynomials have real and distinct roots.

Mass of polynomial away from zeros

Primitive Trinomial for $82589933$?

adding a constant to a polynomial so all its roots are real.

I am learning to solve cubic equation by Cardano's method

Asymptotics of a root

A real polynomial of degree more than or equal to 3 is reducible, but does it necessarily have a real zero?

When a polynomial quotient algebra is semi-simple

Why does this Polynomial have two valid factored forms?

When $\mathbb{C}(f(t),g(t))=\mathbb{C}(t)$ implies that $\mathbb{C}[f(t),g(t)]=\mathbb{C}[t]$?

Why the Graph of the function $f(x)=\frac{x^2-3x+2}{x^2+2x-3}$ has not excluded $\frac{-1}{4}$ from the Range

Every quadratic polynomial is conjugate to one of the polynomial $z^2+t$

About partial fraction decomposition in Michael Spivak's "Calculus". Why degree 8?

A polynomial is exactly divided by$ x+1$, and when it is divided by $3x-1$, the remainder is $4$... (continued in post)

Proving a quartic polynomial irreducible by Eisenstein (or other ways)

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