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Convergence of Newton Method for monotonic polynomials

score 887 · Answer 1 · 2026-04-11 17:11:09

887

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Convergence of Newton Method for monotonic polynomials

Published on 11 Apr 2026 - 17:11

score 33 · Answer 2 · 2026-04-16 10:08:57

33

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Let $F=2X^3-X^2+5X-6$, $G \in \mathbb{R}[X]$, $\deg(G)=2$. If $F + G$ has roots $-1,0,1$, find lowest degree $H$ s.t. $G\mid H$, $\gcd(H,H')=X^2(X-6)$

Published on 16 Apr 2026 - 10:08

score 588 · Answer 3 · 2026-04-10 07:16:37

588

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Finding the number of possible combinations for polynomial coefficients

Published on 10 Apr 2026 - 7:16

score 661 · Answer 4 · 2026-04-13 11:45:48

661

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Extension of primary ideal in polynomial ring

Published on 13 Apr 2026 - 11:45

score 54 · Answer 5 · 2026-04-11 06:56:40

54

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How fast does this two dimensional recursion grow?

Published on 11 Apr 2026 - 6:56

score 323 · Answer 6 · 2026-04-13 19:48:07

323

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Number of irreducible monic polynomials of degree $3$ over $\Bbb F_p$, $p$ prime

Published on 13 Apr 2026 - 19:48

score 77 · Answer 7 · 2026-04-14 03:16:20

77

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Sequence of polynomials approximating sines and cosines

Published on 14 Apr 2026 - 3:16

score 183 · Answer 8 · 2026-04-12 22:25:43

183

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Factorization of a multivariate degree 2 homogeneous polynomial into two linear terms

Published on 12 Apr 2026 - 22:25

score 42 · Answer 9 · 2026-04-12 03:28:18

42

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Finding minimal polynomials $f \in \mathbb{Z}[x]$ with additional restrictions

Published on 12 Apr 2026 - 3:28

score 35 · Answer 10 · 2026-04-17 12:25:28

35

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Find every $a,b \in \mathbb{C}$ such that dividing $P=3X^{120}+\sqrt{2}X^{19}+aX^{11}+\sqrt{2}X^9+3X^2+b$ by $Q=X^2+1$ has remainder $R=5X+2$

Published on 17 Apr 2026 - 12:25

score 36 · Answer 11 · 2026-04-15 02:31:34

36

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solving the following equation $\sum_{k=1}^nt_k^2(\alpha_k-x)^2=\prod_{k=1}^n(\alpha_k-x)^2$

Published on 15 Apr 2026 - 2:31

score 377 · Answer 12 · 2026-04-15 09:33:37

377

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Prove that $P(x)-x$ divides $ P(P(P(x))) − x $

Published on 15 Apr 2026 - 9:33

score 343 · Answer 13 · 2026-04-08 10:03:15

343

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How to find GCD of those two complex polynomials?

Published on 08 Apr 2026 - 10:03

score 102 · Answer 14 · 2026-03-24 23:44:37

102

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Applying Hensel's Lemma When Leading Coefficient is Not a Unit

Published on 24 Mar 2026 - 23:44

score 123 · Answer 15 · 2026-04-11 14:17:50

123

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What are the coefficients of the polynomial expansion of binomial coefficients?

Published on 11 Apr 2026 - 14:17

List Question

Convergence of Newton Method for monotonic polynomials

Let $F=2X^3-X^2+5X-6$, $G \in \mathbb{R}[X]$, $\deg(G)=2$. If $F + G$ has roots $-1,0,1$, find lowest degree $H$ s.t. $G\mid H$, $\gcd(H,H')=X^2(X-6)$

Finding the number of possible combinations for polynomial coefficients

Extension of primary ideal in polynomial ring

How fast does this two dimensional recursion grow?

Number of irreducible monic polynomials of degree $3$ over $\Bbb F_p$, $p$ prime

Sequence of polynomials approximating sines and cosines

Factorization of a multivariate degree 2 homogeneous polynomial into two linear terms

Finding minimal polynomials $f \in \mathbb{Z}[x]$ with additional restrictions

Find every $a,b \in \mathbb{C}$ such that dividing $P=3X^{120}+\sqrt{2}X^{19}+aX^{11}+\sqrt{2}X^9+3X^2+b$ by $Q=X^2+1$ has remainder $R=5X+2$

solving the following equation $\sum_{k=1}^nt_k^2(\alpha_k-x)^2=\prod_{k=1}^n(\alpha_k-x)^2$

Prove that $P(x)-x$ divides $ P(P(P(x))) − x $

How to find GCD of those two complex polynomials?

Applying Hensel's Lemma When Leading Coefficient is Not a Unit

What are the coefficients of the polynomial expansion of binomial coefficients?

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