Question

Proof of polynomial division theorem

score 132 · Answer 1 · 2026-03-28 06:17:46

132

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Proof of polynomial division theorem

Published on 28 Mar 2026 - 6:17

score 127 · Answer 2 · 2018-04-21 02:42:35

127

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Combinatorial identity using polynomials of several variables [Proof verification]

Published on 21 Apr 2018 - 2:42

score 44 · Answer 3 · 2018-04-21 13:30:13

44

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if $f(x)=x^3+ax^2+bx$,show that $g'(x_{1})=0$

Published on 21 Apr 2018 - 13:30

score 45 · Answer 4 · 2026-03-26 01:29:09

45

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Comment on the function $g(x)=f^{'}(x)-f^{''}(x)+f^{'''}(x)$ if $f(x)=ax^3+bx^2+cx+d$ is strictly increasing where $a,b,c,d \in \mathbb{R}$ & $a>0$

Published on 26 Mar 2026 - 1:29

score 7.2k · Answer 5 · 2018-04-21 15:41:46

7.2k

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How to determine average rate of change WITHOUT a function defined? Attached image.

Published on 21 Apr 2018 - 15:41

score 283 · Answer 6 · 2018-04-21 23:36:59

283

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Using triple-angle formula to find answer to polynomial equation

Published on 21 Apr 2018 - 23:36

score 64 · Answer 7 · 2026-03-25 06:06:53

64

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let $a,b,c$ be real numbers (not necessarily positive) for which $\min(a+b,b+c,c+a)\ge 2$. Show that $(a+b+c)^3 \ge a^3 + b^3 + c^3 + 24$

Published on 25 Mar 2026 - 6:06

score 169 · Answer 8 · 2026-03-30 04:00:08

169

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Two roots of $4x^3+8x^2+Kx-18=0$ are equal numerically but opposite in value. Find the value of K.

Published on 30 Mar 2026 - 4:00

score 26 · Answer 9 · 2026-03-25 11:04:31

26

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Connection between fixed points of $(x,y) \mapsto (p,q) \in k[x,y]^2$ and its corresponding map $ (a,b) \mapsto (p(a,b),q(a,b)) : k^2 \to k^2$?

Published on 25 Mar 2026 - 11:04

score 93 · Answer 10 · 2026-03-26 16:57:01

93

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Books that deals with finding polynomials satisfying given conditions.

Published on 26 Mar 2026 - 16:57

score 39 · Answer 11 · 2026-03-26 11:16:46

39

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How do I subtract in $\mathbb{Z}_{n}$?

Published on 26 Mar 2026 - 11:16

score 788 · Answer 12 · 2026-03-25 03:20:40

788

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Why is $\mathbb{Z}[x]/(2, (x^3+1))\cong \mathbb{F}_2[x] /(x^3+1) $?

Published on 25 Mar 2026 - 3:20

score 817 · Answer 13 · 2026-03-30 05:32:11

817

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Multiplicity of zeros and derivatives.

Published on 30 Mar 2026 - 5:32

score 42 · Answer 14 · 2026-03-28 06:31:02

42

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Coefficient of the leading term of a polynomial by multiplication of two polynomials

Published on 28 Mar 2026 - 6:31

score 2.4k · Answer 15 · 2018-04-22 18:06:52

2.4k

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Proof Verification: Show that every polynomial of odd degree with real coefficients has at least one real root.

Published on 22 Apr 2018 - 18:06

List Question

Proof of polynomial division theorem

Combinatorial identity using polynomials of several variables [Proof verification]

if $f(x)=x^3+ax^2+bx$,show that $g'(x_{1})=0$

Comment on the function $g(x)=f^{'}(x)-f^{''}(x)+f^{'''}(x)$ if $f(x)=ax^3+bx^2+cx+d$ is strictly increasing where $a,b,c,d \in \mathbb{R}$ & $a>0$

How to determine average rate of change WITHOUT a function defined? Attached image.

Using triple-angle formula to find answer to polynomial equation

let $a,b,c$ be real numbers (not necessarily positive) for which $\min(a+b,b+c,c+a)\ge 2$. Show that $(a+b+c)^3 \ge a^3 + b^3 + c^3 + 24$

Two roots of $4x^3+8x^2+Kx-18=0$ are equal numerically but opposite in value. Find the value of K.

Connection between fixed points of $(x,y) \mapsto (p,q) \in k[x,y]^2$ and its corresponding map $ (a,b) \mapsto (p(a,b),q(a,b)) : k^2 \to k^2$?

Books that deals with finding polynomials satisfying given conditions.

How do I subtract in $\mathbb{Z}_{n}$?

Why is $\mathbb{Z}[x]/(2, (x^3+1))\cong \mathbb{F}_2[x] /(x^3+1) $?

Multiplicity of zeros and derivatives.

Coefficient of the leading term of a polynomial by multiplication of two polynomials

Proof Verification: Show that every polynomial of odd degree with real coefficients has at least one real root.

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