Question

How can you determine if a root of a polynomial is a repeated one?

score 221 · Answer 1 · 2019-03-25 17:13:13

221

Views

How can you determine if a root of a polynomial is a repeated one?

Published on 25 Mar 2019 - 17:13

score 60 · Answer 2 · 2019-03-25 17:28:36

60

Views

Find all the monic polynomials P(x) ∈ C [X] satisfying the below condition

Published on 25 Mar 2019 - 17:28

score 43 · Answer 3 · 2019-03-25 21:27:48

43

Views

Proof of root decomposition

Published on 25 Mar 2019 - 21:27

score 1.3k · Answer 4 · 2026-03-29 05:12:14

1.3k

Views

If a,b,c are positive rational numbers such that a>b>c then tell which of the following statement are correct following quadratic equation

Published on 29 Mar 2026 - 5:12

score 129 · Answer 5 · 2026-03-28 08:38:21

129

Views

Algorithm for determining all the zeros of a complex rational function without initial guesses

Published on 28 Mar 2026 - 8:38

score 184 · Answer 6 · 2026-03-31 17:52:36

184

Views

Largest real root of a degree six characteristic polynomial

Published on 31 Mar 2026 - 17:52

score 414 · Answer 7 · 2026-02-23 02:13:50

414

Views

How to prove that expessions like $\sqrt{93+63\sqrt{85}} - \sqrt{143} \notin \Bbb{Z}$?

Published on 23 Feb 2026 - 2:13

score 135 · Answer 8 · 2026-03-26 20:44:11

135

Views

Prove that $f(x)$ and $g(x)$ do not have any roots in common.

Published on 26 Mar 2026 - 20:44

score 97 · Answer 9 · 2026-03-26 09:51:23

97

Views

If $a$ is an $n$-th root of $z$ , $b$ is an $n$-th root of $w$, and $c$ is an $n$-th root of $zw$, then $ab=c$.

Published on 26 Mar 2026 - 9:51

score 102 · Answer 10 · 2026-03-25 15:47:22

102

Views

What are the integer coeffcients of a cubic polynomial having two particular properties?

Published on 25 Mar 2026 - 15:47

score 189 · Answer 11 · 2019-04-05 12:20:53

Determine the real numbers $a$, $b$, $c$ such that $1$, $\frac1{1+\omega}$ and $\frac1{1+\omega^*}$ are zeroes of the polynomial $p(z)=z^3+az^2+bz+c$

score 58 · Answer 12 · 2019-04-05 17:08:37

58

Views

Solving $\tan (2x) = 6\cos^2(x) - 4\sin(x)\cos(x) - 2\sin^2(x)$

Published on 05 Apr 2019 - 17:08

score 189 · Answer 13 · 2026-03-29 08:35:41

189

Views

$x^2-2mx+m^2-1=0$ Find the range of m when one root lies in (-2, 4)

Published on 29 Mar 2026 - 8:35

score 75 · Answer 14 · 2026-03-30 15:15:50

75

Views

How to find the real positive root of $x^{k/2} - x - 1$.

Published on 30 Mar 2026 - 15:15

score 1.1k · Answer 15 · 2026-03-29 11:07:02

1.1k

Views

Does the degree of a polynomial give the number of roots?

Published on 29 Mar 2026 - 11:07

List Question

How can you determine if a root of a polynomial is a repeated one?

Find all the monic polynomials P(x) ∈ C [X] satisfying the below condition

Proof of root decomposition

If a,b,c are positive rational numbers such that a>b>c then tell which of the following statement are correct following quadratic equation

Algorithm for determining all the zeros of a complex rational function without initial guesses

Largest real root of a degree six characteristic polynomial

How to prove that expessions like $\sqrt{93+63\sqrt{85}} - \sqrt{143} \notin \Bbb{Z}$?

Prove that $f(x)$ and $g(x)$ do not have any roots in common.

If $a$ is an $n$-th root of $z$ , $b$ is an $n$-th root of $w$, and $c$ is an $n$-th root of $zw$, then $ab=c$.

What are the integer coeffcients of a cubic polynomial having two particular properties?

Determine the real numbers $a$, $b$, $c$ such that $1$, $\frac1{1+\omega}$ and $\frac1{1+\omega^*}$ are zeroes of the polynomial $p(z)=z^3+az^2+bz+c$

Solving $\tan (2x) = 6\cos^2(x) - 4\sin(x)\cos(x) - 2\sin^2(x)$

$x^2-2mx+m^2-1=0$ Find the range of m when one root lies in (-2, 4)

How to find the real positive root of $x^{k/2} - x - 1$.

Does the degree of a polynomial give the number of roots?

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