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Let : $P(x)=x^{3}+ax^{2}+bx+c$ where $(a,b,c)\in Z^3$

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#real-analysis #calculus #number-theory #polynomials #cubics
103
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Irreducibility of $t ^ { 4 } + t - 1$ over $\mathbb{F}_{25}$

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#abstract-algebra #polynomials #ring-theory #field-theory #finite-fields
34
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Find an integer coefficient polynomial for this number

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#polynomials #irrational-numbers
1.6k
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If $x = \frac{\sqrt{111}-1}{2}$, calculate $(2x^{5} + 2x^{4} - 53x^{3} - 57x + 54)^{2004}$.

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#algebra-precalculus #polynomials #contest-math #radicals
168
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Chebyshev polynomial property

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#analysis #derivatives #polynomials #special-functions #chebyshev-polynomials
290
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What meaning has the derivative of the Discriminant of polynomials

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#polynomials #roots #discriminant
66
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How to find basis of linear subspace $V$ when $V$ contains all polynomials with the degree up to 4?

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#linear-algebra #polynomials #vector-spaces #linear-transformations
133
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Classification of image (in interval) of polynomial (non constant)

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#real-analysis #functions #polynomials #continuity
35
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Division of the leading terms of numerator and denominator in "Polynomial long division" algorithm

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#polynomials
372
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Number of ring homomorphism from $\Bbb Z[x,y]$ to $\Bbb F_2[x]/(x^3+x^2+x+1)$

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#abstract-algebra #polynomials #ring-theory #cyclic-groups #ring-homomorphism
105
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Degree 2 Recurring monic polynomials

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#polynomials #roots #irreducible-polynomials
61
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Zero of a polynomial and divisbility

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#linear-algebra #polynomials #roots
53
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Finding the real roots of a univariate polynomial on the interval [0,1]

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#polynomials #numerical-methods #roots #newton-raphson #machine-precision
91
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A polynomial coefficient

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#combinatorics #polynomials #binomial-coefficients
64
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Polynomial factorization in $\mathbb{R}$ and $\mathbb{Z}_{[n]}$

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#polynomials #factoring #quotient-spaces

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