Question

score 68 · Answer 1 · 2026-03-31 10:13:42

68

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If $(x-a)^2|f(x)$, then $(x-a)|f'(x)$ and if $(x-a)|f(x)$ and $(x-a)|f'(x)$, then $(x-a)^2|f(x)$

Published on 31 Mar 2026 - 10:13

score 480 · Answer 2 · 2026-04-09 12:22:40

480

Views

Factor $x^5-x+15$

Published on 09 Apr 2026 - 12:22

score 50 · Answer 3 · 2019-02-27 06:41:33

50

Views

This polynomial is divisible by $(x-2)$ so the remainder is $0$. How do we evaluate the product $ab$?

Published on 27 Feb 2019 - 6:41

score 577 · Answer 4 · 2026-04-10 03:03:32

577

Views

How to find that the given equation has integer roots?

Published on 10 Apr 2026 - 3:03

score 344 · Answer 5 · 2026-03-26 08:04:04

344

Views

Extended Hamming code to cyclic code

Published on 26 Mar 2026 - 8:04

score 46 · Answer 6 · 2019-02-27 12:44:21

46

Views

Linearity and Injectivity of Polynomial maps

Published on 27 Feb 2019 - 12:44

score 1k · Answer 7 · 2026-04-11 15:14:06

1k

Views

How to restrict coefficients of polynomial, so the function is strictly monotonic?

Published on 11 Apr 2026 - 15:14

score 82 · Answer 8 · 2019-02-27 18:08:18

82

Views

Can $x^2+xy+y^2$ be written using only $x-y$?

Published on 27 Feb 2019 - 18:08

score 178 · Answer 9 · 2026-03-30 00:05:22

178

Views

What is the value of $2x+3y$ if $x+y=7$ and $x^2-y^2=21$?

Published on 30 Mar 2026 - 0:05

score 810 · Answer 10 · 2026-03-27 19:33:40

810

Views

Unit-monic $f\mid g$ in $R[x]$ if $f\mid g$ in $S[x]$ for rings $S\supset R$

Published on 27 Mar 2026 - 19:33

score 608 · Answer 11 · 2026-03-25 15:41:12

608

Views

Showing when $x^3 = px+q$ only has one real solution ($p,q \gt 0$)

Published on 25 Mar 2026 - 15:41

score 744 · Answer 12 · 2026-04-10 07:30:39

744

Views

How come algebraic closure is not unique?

Published on 10 Apr 2026 - 7:30

score 84 · Answer 13 · 2019-02-28 10:57:03

84

Views

If $f(x) \geq 0$, then $g(x) =f(x)+f'(x)+f''(x)+...+f^r(x) \geq 0$

Published on 28 Feb 2019 - 10:57

score 224 · Answer 14 · 2026-04-12 18:07:28

224

Views

Relation between degree and Hamming distance

Published on 12 Apr 2026 - 18:07

score 95 · Answer 15 · 2026-03-26 18:51:48

95

Views

Characteristic polynomial of $v\mapsto X\cdot v$ over $V := K[X]/(f_1)\bigoplus\dots\bigoplus K[X]/(f_n)$

Published on 26 Mar 2026 - 18:51

List Question

If $(x-a)^2|f(x)$, then $(x-a)|f'(x)$ and if $(x-a)|f(x)$ and $(x-a)|f'(x)$, then $(x-a)^2|f(x)$

Factor $x^5-x+15$

This polynomial is divisible by $(x-2)$ so the remainder is $0$. How do we evaluate the product $ab$?

How to find that the given equation has integer roots?

Extended Hamming code to cyclic code

Linearity and Injectivity of Polynomial maps

How to restrict coefficients of polynomial, so the function is strictly monotonic?

Can $x^2+xy+y^2$ be written using only $x-y$?

What is the value of $2x+3y$ if $x+y=7$ and $x^2-y^2=21$?

Unit-monic $f\mid g$ in $R[x]$ if $f\mid g$ in $S[x]$ for rings $S\supset R$

Showing when $x^3 = px+q$ only has one real solution ($p,q \gt 0$)

How come algebraic closure is not unique?

If $f(x) \geq 0$, then $g(x) =f(x)+f'(x)+f''(x)+...+f^r(x) \geq 0$

Relation between degree and Hamming distance

Characteristic polynomial of $v\mapsto X\cdot v$ over $V := K[X]/(f_1)\bigoplus\dots\bigoplus K[X]/(f_n)$

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