Question

$\prod_{i=1}^{n}(x+\alpha_i)$ series expansion

score 66 · Answer 1 · 2026-03-25 17:26:02

66

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$\prod_{i=1}^{n}(x+\alpha_i)$ series expansion

Published on 25 Mar 2026 - 17:26

score 60 · Answer 2 · 2018-10-06 02:14:53

60

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Faithful action of stabiliser on group of automorphisms of a hypersurface

Published on 06 Oct 2018 - 2:14

score 2k · Answer 3 · 2026-02-22 23:29:48

2k

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The universal property of polynomial rings and universal identities

Published on 22 Feb 2026 - 23:29

score 37 · Answer 4 · 2018-10-06 10:17:49

If $P(x)>Q(x)^2+Q(x)+x^2-6$ $\forall$ $x\in \mathbb{R}$, show that there exists two roots which satisfy $| \alpha - \beta | <1$

score 96 · Answer 5 · 2026-03-25 07:48:52

96

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Dividing a polynomial by a polynomial of higher degree

Published on 25 Mar 2026 - 7:48

score 51 · Answer 6 · 2026-03-25 06:04:23

51

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How, to interpret the geometry of a 2nd degree polynomial equation, which contains an elliptic quadratic form and whose constant coefficient is zero?

Published on 25 Mar 2026 - 6:04

score 277 · Answer 7 · 2026-04-04 03:03:29

277

Views

Closed oriented manifold with middle Betti is one with odd degree.

Published on 04 Apr 2026 - 3:03

score 183 · Answer 8 · 2026-03-26 04:51:37

183

Views

Find the minimum values of $a^3$ and $b^3$ from the following given cubic function.

Published on 26 Mar 2026 - 4:51

score 1.2k · Answer 9 · 2026-03-25 14:07:57

1.2k

Views

The remainder when a polynomial, $f(x)$ is divided by $x-1$ is the same as the quotient. Find the value of $f(0)$

Published on 25 Mar 2026 - 14:07

score 251 · Answer 10 · 2018-10-06 17:35:12

251

Views

Proving that $q(A,S)>0$ if $A>0$, $S<0$ and $p_i(A,S)>0$

Published on 06 Oct 2018 - 17:35

score 891 · Answer 11 · 2026-03-26 23:09:19

891

Views

Find the values of $p$ and $q$

Published on 26 Mar 2026 - 23:09

score 159 · Answer 12 · 2026-03-27 19:30:01

159

Views

Previous year Olympiad problem (polynomials)

Published on 27 Mar 2026 - 19:30

score 92 · Answer 13 · 2018-10-06 20:02:02

Does there exist a test, or series of tests, to ensure that a polynomial has only one real root, and it's positive?

score 423 · Answer 14 · 2026-03-25 18:47:05

423

Views

Integration by substitution vs. polynomial expansion first....different results??

Published on 25 Mar 2026 - 18:47

score 94 · Answer 15 · 2026-03-28 11:43:34

94

Views

An induction proof of $(a+1)^n (a^n+1) \leq 2^n (a^{2n}+1)$

Published on 28 Mar 2026 - 11:43

List Question

$\prod_{i=1}^{n}(x+\alpha_i)$ series expansion

Faithful action of stabiliser on group of automorphisms of a hypersurface

The universal property of polynomial rings and universal identities

If $P(x)>Q(x)^2+Q(x)+x^2-6$ $\forall$ $x\in \mathbb{R}$, show that there exists two roots which satisfy $| \alpha - \beta | <1$

Dividing a polynomial by a polynomial of higher degree

How, to interpret the geometry of a 2nd degree polynomial equation, which contains an elliptic quadratic form and whose constant coefficient is zero?

Closed oriented manifold with middle Betti is one with odd degree.

Find the minimum values of $a^3$ and $b^3$ from the following given cubic function.

The remainder when a polynomial, $f(x)$ is divided by $x-1$ is the same as the quotient. Find the value of $f(0)$

Proving that $q(A,S)>0$ if $A>0$, $S<0$ and $p_i(A,S)>0$

Find the values of $p$ and $q$

Previous year Olympiad problem (polynomials)

Does there exist a test, or series of tests, to ensure that a polynomial has only one real root, and it's positive?

Integration by substitution vs. polynomial expansion first....different results??

An induction proof of $(a+1)^n (a^n+1) \leq 2^n (a^{2n}+1)$

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