List questions from polynomials

Published on 24 Mar 2026 - 19:08

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Factor $x^{80} - 1$ over $F_3$

Published on 06 Feb 2018 - 16:10

150

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Is it true that $\frac {a}{a+b}+\frac {b}{b+c}+\frac {c}{c+a}\geq \frac32$ if $a+b+c=1$?

Published on 23 Mar 2026 - 8:48

185

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Prove that if $a$ and $b$ satisfy $2a+4b=1$, then $a^2+b^2\ge \frac {1}{20}$

Published on 25 Mar 2026 - 21:49

60

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Let $ f $ be an irreducible polynomial in $ \mathbb{F }_q [x] $, why $ f ^\frac{s}{deg (f)} $ has degree term $ s-1 $?

Published on 17 Mar 2026 - 15:43

155

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Factoring $(1+i)z^2 - 3z +2 - i$

Published on 24 Mar 2026 - 22:09

324

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Find the coefficients in Euclid's algorithm

Published on 23 Mar 2026 - 4:03

504

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Polynomials: gaining irreducibility by adding a constant

Published on 24 Mar 2026 - 22:10

305

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Uniform approximation of second derivative via Bernstein polynomial

Published on 20 Mar 2026 - 3:48

83

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What are the characteristics that we can use to identify polynomials that have singular points?

Published on 20 Mar 2026 - 7:45

230

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Find the maximum value of $ax+ by$

Published on 24 Mar 2026 - 17:30

37

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Number of solutions for quadratic polynomials in $\mathbb{F}_p$

Published on 22 Mar 2026 - 19:41

71

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If $P(x)=x^4+a_0 x^3+a_1 x^2+a_2 x+a_3$, $P(x)>0$, and $Q(x)=a_3x^4+a_2 x^3+a_1x^2+a_0 x$ prove that $Q(a_3)>-2$.

Published on 25 Mar 2026 - 21:51

2.2k

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Design an algorithm to check if point lies on a Bézier curve

Published on 26 Mar 2026 - 4:06

110

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Find Laguerre polynomials using Taylor series

Published on 26 Mar 2026 - 16:10

List Question

Irrational Computation of a Rational Cubic Root.

Factor $x^{80} - 1$ over $F_3$

Is it true that $\frac {a}{a+b}+\frac {b}{b+c}+\frac {c}{c+a}\geq \frac32$ if $a+b+c=1$?

Prove that if $a$ and $b$ satisfy $2a+4b=1$, then $a^2+b^2\ge \frac {1}{20}$

Let $ f $ be an irreducible polynomial in $ \mathbb{F }_q [x] $, why $ f ^\frac{s}{deg (f)} $ has degree term $ s-1 $?

Factoring $(1+i)z^2 - 3z +2 - i$

Find the coefficients in Euclid's algorithm

Polynomials: gaining irreducibility by adding a constant

Uniform approximation of second derivative via Bernstein polynomial

What are the characteristics that we can use to identify polynomials that have singular points?

Find the maximum value of $ax+ by$

Number of solutions for quadratic polynomials in $\mathbb{F}_p$

If $P(x)=x^4+a_0 x^3+a_1 x^2+a_2 x+a_3$, $P(x)>0$, and $Q(x)=a_3x^4+a_2 x^3+a_1x^2+a_0 x$ prove that $Q(a_3)>-2$.

Design an algorithm to check if point lies on a Bézier curve

Find Laguerre polynomials using Taylor series

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