Question

What is the intuition for the multiplicity of a root of a polynomial equation?

score 2k · Answer 1 · 2026-03-25 07:16:34

2k

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What is the intuition for the multiplicity of a root of a polynomial equation?

Published on 25 Mar 2026 - 7:16

score 2.5k · Answer 2 · 2018-03-31 21:07:42

2.5k

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Substitution for solving $z^n-1=0$

Published on 31 Mar 2018 - 21:07

score 75 · Answer 3 · 2018-04-01 07:24:02

75

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how to prove that $2^n = (n+1)(n+2)(n+3)$ has no solution when $n>0$?

Published on 01 Apr 2018 - 7:24

score 239 · Answer 4 · 2018-04-01 11:46:16

239

Views

Question on coefficients of polynomials

Published on 01 Apr 2018 - 11:46

score 610 · Answer 5 · 2026-03-25 11:14:53

610

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GCD of $X^3+1$ and $X^2+1$ in a field K

Published on 25 Mar 2026 - 11:14

score 255 · Answer 6 · 2026-03-27 19:32:01

255

Views

Show that polynomial is irreducible

Published on 27 Mar 2026 - 19:32

score 246 · Answer 7 · 2026-03-30 00:22:52

246

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On the roots of the polynomial $(z-\frac12)^{2n}+(z+\frac12)^{2n}+1$

Published on 30 Mar 2026 - 0:22

score 50 · Answer 8 · 2018-04-01 23:05:55

50

Views

Finding $n$-th root using only square root operation by finding the binary equivalent expression.

Published on 01 Apr 2018 - 23:05

score 142 · Answer 9 · 2018-04-02 00:31:34

142

Views

Find the roots of a polynomial with modulus coefficients?

Published on 02 Apr 2018 - 0:31

score 113 · Answer 10 · 2026-03-29 18:32:39

113

Views

Kernel of evaluation map into field of quotients

Published on 29 Mar 2026 - 18:32

score 1.2k · Answer 11 · 2018-04-02 05:23:18

1.2k

Views

Calculate a quartic monic polynomial given that $P(1)=10,P(2)=20$ and $P(3)=30$.

Published on 02 Apr 2018 - 5:23

score 1.3k · Answer 12 · 2026-03-27 15:20:07

1.3k

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Find the greatest common divisor of $f(x)=2x^3+2x^2+x+4$ and $g(x)=x^4+3x^3+4x^2+3x$

Published on 27 Mar 2026 - 15:20

score 85 · Answer 13 · 2026-03-28 03:52:57

85

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Is $\mathbb{R}^n$ a variety of $\mathbb{C}^n$?

Published on 28 Mar 2026 - 3:52

score 1.2k · Answer 14 · 2026-03-30 00:23:01

1.2k

Views

A polynomial $p(x)$ with real coefficients is of degree five. Find $p(x)$ in factorised form with real coefficients.

Published on 30 Mar 2026 - 0:23

score 127 · Answer 15 · 2026-03-24 23:49:53

127

Views

On the kernel of the surjective ring homomorphism $R[X] \to R[ab^{-1}]$ taking $X$ to $ab^{-1}$

Published on 24 Mar 2026 - 23:49

List Question

What is the intuition for the multiplicity of a root of a polynomial equation?

Substitution for solving $z^n-1=0$

how to prove that $2^n = (n+1)(n+2)(n+3)$ has no solution when $n>0$?

Question on coefficients of polynomials

GCD of $X^3+1$ and $X^2+1$ in a field K

Show that polynomial is irreducible

On the roots of the polynomial $(z-\frac12)^{2n}+(z+\frac12)^{2n}+1$

Finding $n$-th root using only square root operation by finding the binary equivalent expression.

Find the roots of a polynomial with modulus coefficients?

Kernel of evaluation map into field of quotients

Calculate a quartic monic polynomial given that $P(1)=10,P(2)=20$ and $P(3)=30$.

Find the greatest common divisor of $f(x)=2x^3+2x^2+x+4$ and $g(x)=x^4+3x^3+4x^2+3x$

Is $\mathbb{R}^n$ a variety of $\mathbb{C}^n$?

A polynomial $p(x)$ with real coefficients is of degree five. Find $p(x)$ in factorised form with real coefficients.

On the kernel of the surjective ring homomorphism $R[X] \to R[ab^{-1}]$ taking $X$ to $ab^{-1}$

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