Question

To what extend does shared roots imply divisibility of polynomials?

score 266 · Answer 1 · 2026-03-25 21:01:19

266

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To what extend does shared roots imply divisibility of polynomials?

Published on 25 Mar 2026 - 21:01

score 130 · Answer 2 · 2018-05-28 10:10:30

130

Views

how $x^2 \sin(x)$ is a solution implies $\iota $ is root with multiplicity 3?

Published on 28 May 2018 - 10:10

score 93 · Answer 3 · 2018-05-28 15:59:26

93

Views

Can a quotient of polynomials be simplified before been analyzed?

Published on 28 May 2018 - 15:59

score 71 · Answer 4 · 2018-05-29 16:33:09

71

Views

Solutions of $x^4+2tx^2+1=0$

Published on 29 May 2018 - 16:33

score 260 · Answer 5 · 2026-03-26 21:26:02

260

Views

Finding roots of a quadratic equation having same roots for all real values of a parameter

Published on 26 Mar 2026 - 21:26

score 107 · Answer 6 · 2018-05-30 16:05:51

107

Views

Let $f(x) = x^3+ax^2+bx+c$ where $a,b$ and $c$ are real numbers. Suppose $c<0, a+b+c>-1$ and $ a-b+c>1.$ Then which of the following are true?

Published on 30 May 2018 - 16:05

score 333 · Answer 7 · 2018-05-31 18:47:42

333

Views

What are the zeros of $z^6-5z^4+z^3-2z \in \mathbb{C}$ within the unit circle?

Published on 31 May 2018 - 18:47

score 331 · Answer 8 · 2018-05-31 23:36:44

331

Views

Finding the real roots and complex roots to a polynomial

Published on 31 May 2018 - 23:36

score 60 · Answer 9 · 2026-03-27 08:41:15

60

Views

Relation between polynomial coefficients/roots and areas between the roots

Published on 27 Mar 2026 - 8:41

score 150 · Answer 10 · 2026-03-25 12:20:37

150

Views

Find $x$ if $\cot^{-1}\left(\frac{1}{x}\right)+\cos ^{-1}(-x)+\tan^{-1}(x)=\pi$

Published on 25 Mar 2026 - 12:20

score 77 · Answer 11 · 2018-06-04 05:22:32

77

Views

Confusion about loss of root when solving trigonometric equation

Published on 04 Jun 2018 - 5:22

score 128 · Answer 12 · 2026-03-27 01:42:08

128

Views

Newton-Raphson Method- Same Equations, 2 correct roots, 1 incorrect root

Published on 27 Mar 2026 - 1:42

score 104 · Answer 13 · 2018-06-06 06:10:54

104

Views

Roots of a higher order polynomial

Published on 06 Jun 2018 - 6:10

score 199 · Answer 14 · 2018-06-06 12:37:51

199

Views

What is the nth root of a number

Published on 06 Jun 2018 - 12:37

score 383 · Answer 15 · 2026-03-26 07:57:42

383

Views

Prove that an entire function has at least one complex zero

Published on 26 Mar 2026 - 7:57

List Question

To what extend does shared roots imply divisibility of polynomials?

how $x^2 \sin(x)$ is a solution implies $\iota $ is root with multiplicity 3?

Can a quotient of polynomials be simplified before been analyzed?

Solutions of $x^4+2tx^2+1=0$

Finding roots of a quadratic equation having same roots for all real values of a parameter

Let $f(x) = x^3+ax^2+bx+c$ where $a,b$ and $c$ are real numbers. Suppose $c<0, a+b+c>-1$ and $ a-b+c>1.$ Then which of the following are true?

What are the zeros of $z^6-5z^4+z^3-2z \in \mathbb{C}$ within the unit circle?

Finding the real roots and complex roots to a polynomial

Relation between polynomial coefficients/roots and areas between the roots

Find $x$ if $\cot^{-1}\left(\frac{1}{x}\right)+\cos ^{-1}(-x)+\tan^{-1}(x)=\pi$

Confusion about loss of root when solving trigonometric equation

Newton-Raphson Method- Same Equations, 2 correct roots, 1 incorrect root

Roots of a higher order polynomial

What is the nth root of a number

Prove that an entire function has at least one complex zero

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