Question

Suppose $a, b, c \in I$ such that greatest common divisor of $x^2 + ax + b$ and $x^2 + bx + c$ is $(x + 1)$ and the least common multiple...

score 1.6k · Answer 1 · 2026-03-29 04:26:20

1.6k

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Suppose $a, b, c \in I$ such that greatest common divisor of $x^2 + ax + b$ and $x^2 + bx + c$ is $(x + 1)$ and the least common multiple...

Published on 29 Mar 2026 - 4:26

score 475 · Answer 2 · 2019-02-21 05:22:02

475

Views

Relation between roots and coefficients - manipulation of identities

Published on 21 Feb 2019 - 5:22

score 231 · Answer 3 · 2026-04-11 15:37:21

231

Views

Finding a rational root on this particular two variables polynomial

Published on 11 Apr 2026 - 15:37

score 126 · Answer 4 · 2026-04-12 03:09:59

126

Views

Abel-Ruffini Theorem Intuition

Published on 12 Apr 2026 - 3:09

score 49 · Answer 5 · 2026-03-25 09:24:24

49

Views

Reduction Rule Approach Used in Factoring a Quartic

Published on 25 Mar 2026 - 9:24

score 2.9k · Answer 6 · 2019-02-22 06:56:28

2.9k

Views

Differences between interpolation and approximation

Published on 22 Feb 2019 - 6:56

score 164 · Answer 7 · 2019-02-22 11:13:19

164

Views

Let $S=\{p(x) \in \mathbb Z[X] :|p(x)| \leq 2^x, \forall x\in \mathbb N\}$. Prove $|S| < \infty$

Published on 22 Feb 2019 - 11:13

score 595 · Answer 8 · 2026-04-11 21:17:01

595

Views

Polynomials with a fixed maximum degree cannot be used to approximate functions uniformly to any desired accuracy?

Published on 11 Apr 2026 - 21:17

score 411 · Answer 9 · 2019-02-22 19:08:46

the roots of the equation $ax^2 +bx+c=0$ are $\alpha$ and $\beta$ find an equation with roots $\alpha + \beta$ and $\alpha \beta$.

score 282 · Answer 10 · 2026-03-30 13:22:17

282

Views

Roots of a polynomial in $x$ and $e^x$

Published on 30 Mar 2026 - 13:22

score 783 · Answer 11 · 2026-04-11 02:45:16

783

Views

Algebraic proof that two statements of the fundamental theorem of algebra are equivalent

Published on 11 Apr 2026 - 2:45

score 107 · Answer 12 · 2019-02-23 05:48:28

107

Views

Let $S=\{p(x) \in \mathbb Z[X] :|p(x)| \leq 2^x, \forall x\in \mathbb N\}$. Find $|S|$.

Published on 23 Feb 2019 - 5:48

score 173 · Answer 13 · 2026-04-05 01:23:40

173

Views

Irreducibility of q-factorial plus 1

Published on 05 Apr 2026 - 1:23

score 89 · Answer 14 · 2026-04-07 09:47:43

89

Views

When does a set of polynomials form a polynomial ring?

Published on 07 Apr 2026 - 9:47

score 166 · Answer 15 · 2026-04-11 01:45:42

166

Views

How can I find out if two parabolas will share an integer in their sequence?

Published on 11 Apr 2026 - 1:45

List Question

Suppose $a, b, c \in I$ such that greatest common divisor of $x^2 + ax + b$ and $x^2 + bx + c$ is $(x + 1)$ and the least common multiple...

Relation between roots and coefficients - manipulation of identities

Finding a rational root on this particular two variables polynomial

Abel-Ruffini Theorem Intuition

Reduction Rule Approach Used in Factoring a Quartic

Differences between interpolation and approximation

Let $S=\{p(x) \in \mathbb Z[X] :|p(x)| \leq 2^x, \forall x\in \mathbb N\}$. Prove $|S| < \infty$

Polynomials with a fixed maximum degree cannot be used to approximate functions uniformly to any desired accuracy?

the roots of the equation $ax^2 +bx+c=0$ are $\alpha$ and $\beta$ find an equation with roots $\alpha + \beta$ and $\alpha \beta$.

Roots of a polynomial in $x$ and $e^x$

Algebraic proof that two statements of the fundamental theorem of algebra are equivalent

Let $S=\{p(x) \in \mathbb Z[X] :|p(x)| \leq 2^x, \forall x\in \mathbb N\}$. Find $|S|$.

Irreducibility of q-factorial plus 1

When does a set of polynomials form a polynomial ring?

How can I find out if two parabolas will share an integer in their sequence?

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