Question

Condition for polynomials to be proper

score 549 · Answer 1 · 2026-04-12 00:13:06

549

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Condition for polynomials to be proper

Published on 12 Apr 2026 - 0:13

score 168 · Answer 2 · 2026-04-15 13:51:46

168

Views

Theorem: If $x_0$ is a root of polynomial $P$ with multiplicity $m$, then it's a root of $P'$ with multiplicity of m-1, clarification needed.

Published on 15 Apr 2026 - 13:51

score 198 · Answer 3 · 2026-04-12 09:07:24

198

Views

Is my proof of irreducibility of ${(x - a_1)}^2{(x - a_2)}^2 \; \cdots \; {(x - a_n)}^2 + 1$ over $\mathbb{Z}$ correct?

Published on 12 Apr 2026 - 9:07

score 29 · Answer 4 · 2026-04-13 03:55:11

29

Views

Display the following vector as a linear combination of the base B.

Published on 13 Apr 2026 - 3:55

score 67 · Answer 5 · 2026-04-09 13:36:44

67

Views

Finding a Complex Number where a Polynomial does not Vanish

Published on 09 Apr 2026 - 13:36

score 259 · Answer 6 · 2026-04-14 13:04:29

259

Views

Inequality in a Polynomial

Published on 14 Apr 2026 - 13:04

score 175 · Answer 7 · 2026-04-16 11:47:24

175

Views

Factorize $x^4 + y^4 -x^2 y^2$ over $\mathbb C$

Published on 16 Apr 2026 - 11:47

score 973 · Answer 8 · 2026-04-16 13:38:59

973

Views

$x^4-14x^2+24x-k=0$ has $4$ real and unequal roots, what is the range of $k$?

Published on 16 Apr 2026 - 13:38

score 87 · Answer 9 · 2026-04-16 09:46:52

87

Views

Solve the equation over reals: $\sqrt{5x^2 + 27x + 25} - 5\sqrt{x + 1} = \sqrt{x^2 - 4}$.

Published on 16 Apr 2026 - 9:46

score 54 · Answer 10 · 2026-04-12 04:05:10

54

Views

Sinus as an infinite polynomial

Published on 12 Apr 2026 - 4:05

score 70 · Answer 11 · 2026-04-14 21:31:42

70

Views

Pan's Algorithms for approximating polynomial zeros

Published on 14 Apr 2026 - 21:31

score 161 · Answer 12 · 2026-04-16 22:36:16

161

Views

concerning the coefficients of $P_n(x)=(x-1)(x-2)\cdots (x-n)$

Published on 16 Apr 2026 - 22:36

score 109 · Answer 13 · 2026-04-14 22:40:42

109

Views

Find the number for real roots of the function $f(x)= x^5-5x+a$ .

Published on 14 Apr 2026 - 22:40

score 506 · Answer 14 · 2026-04-14 23:28:52

506

Views

Suppose that $f:\mathbb C \to \mathbb C$ is an analytic function. Then $f$ is a polynomial if...

Published on 14 Apr 2026 - 23:28

score 85 · Answer 15 · 2026-04-15 17:51:57

85

Views

Solve the inequality $ 2x^{2} + x - 4 \sqrt{2x^{2} + x + 4} < 1 $

Published on 15 Apr 2026 - 17:51

List Question

Condition for polynomials to be proper

Theorem: If $x_0$ is a root of polynomial $P$ with multiplicity $m$, then it's a root of $P'$ with multiplicity of m-1, clarification needed.

Is my proof of irreducibility of ${(x - a_1)}^2{(x - a_2)}^2 \; \cdots \; {(x - a_n)}^2 + 1$ over $\mathbb{Z}$ correct?

Display the following vector as a linear combination of the base B.

Finding a Complex Number where a Polynomial does not Vanish

Inequality in a Polynomial

Factorize $x^4 + y^4 -x^2 y^2$ over $\mathbb C$

$x^4-14x^2+24x-k=0$ has $4$ real and unequal roots, what is the range of $k$?

Solve the equation over reals: $\sqrt{5x^2 + 27x + 25} - 5\sqrt{x + 1} = \sqrt{x^2 - 4}$.

Sinus as an infinite polynomial

Pan's Algorithms for approximating polynomial zeros

concerning the coefficients of $P_n(x)=(x-1)(x-2)\cdots (x-n)$

Find the number for real roots of the function $f(x)= x^5-5x+a$ .

Suppose that $f:\mathbb C \to \mathbb C$ is an analytic function. Then $f$ is a polynomial if...

Solve the inequality $ 2x^{2} + x - 4 \sqrt{2x^{2} + x + 4} < 1 $

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