Question

Show that $Q=X^2+5X+7$ divides $P=(X+2)^m+(X+3)^{2m+3}$ for any $m\in\Bbb N$

score 75 · Answer 1 · 2026-05-10 12:34:08

75

Views

Show that $Q=X^2+5X+7$ divides $P=(X+2)^m+(X+3)^{2m+3}$ for any $m\in\Bbb N$

Published on 10 May 2026 - 12:34

score 82 · Answer 2 · 2026-04-18 00:20:49

82

Views

Squared Summation(Intermediate Step)

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score 117 · Answer 3 · 2026-05-07 17:08:42

117

Views

Deduction in polynomial calculus.

Published on 07 May 2026 - 17:08

score 215 · Answer 4 · 2026-04-23 08:32:52

215

Views

Does every polynomial with a Perron root have a primitive matrix representation?

Published on 23 Apr 2026 - 8:32

score 1.3k · Answer 5 · 2026-04-14 01:34:38

1.3k

Views

proving there exists a non zero polynomial for which B has a root

Published on 14 Apr 2026 - 1:34

score 74 · Answer 6 · 2026-05-10 15:27:45

74

Views

Proof of irrationality

Published on 10 May 2026 - 15:27

score 163 · Answer 7 · 2026-04-11 21:16:43

163

Views

Polynomial division without a remainder

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score 124 · Answer 8 · 2026-05-03 08:51:02

124

Views

On multiplicative and additive properties of cyclotomic polynomials

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score 95 · Answer 9 · 2026-05-10 14:04:54

95

Views

Do all degree $n+1$ polynomials have rational roots?

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score 547 · Answer 10 · 2026-05-10 12:32:34

547

Views

Is there a method to find inverse function of these specific polynomial?

Published on 10 May 2026 - 12:32

score 76 · Answer 11 · 2026-04-13 21:40:06

76

Views

Check if given vector spaces are subspaces. (Polynomials)

Published on 13 Apr 2026 - 21:40

score 45 · Answer 12 · 2026-04-11 15:24:27

45

Views

Question about roots in polynomials

Published on 11 Apr 2026 - 15:24

score 4.2k · Answer 13 · 2026-05-07 13:19:03

4.2k

Views

How do I find roots of the 3rd order polynomial?

Published on 07 May 2026 - 13:19

score 173 · Answer 14 · 2026-04-16 10:02:22

173

Views

Prove that, $\binom{3n}{r}=\binom{3n-1}{r} + \binom{3n-1}{r-1}$

Published on 16 Apr 2026 - 10:02

score 32 · Answer 15 · 2026-05-10 11:21:55

32

Views

What is the expected difference in the gap of two polynomials in $Z_2[x_1, ..., x_n]$ when adding a randomly chosen variable $x_i, i \in [n]$?

Published on 10 May 2026 - 11:21

List Question

Show that $Q=X^2+5X+7$ divides $P=(X+2)^m+(X+3)^{2m+3}$ for any $m\in\Bbb N$

Squared Summation(Intermediate Step)

Deduction in polynomial calculus.

Does every polynomial with a Perron root have a primitive matrix representation?

proving there exists a non zero polynomial for which B has a root

Proof of irrationality

Polynomial division without a remainder

On multiplicative and additive properties of cyclotomic polynomials

Do all degree $n+1$ polynomials have rational roots?

Is there a method to find inverse function of these specific polynomial?

Check if given vector spaces are subspaces. (Polynomials)

Question about roots in polynomials

How do I find roots of the 3rd order polynomial?

Prove that, $\binom{3n}{r}=\binom{3n-1}{r} + \binom{3n-1}{r-1}$

What is the expected difference in the gap of two polynomials in $Z_2[x_1, ..., x_n]$ when adding a randomly chosen variable $x_i, i \in [n]$?

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