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Prove that the following set is a field

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#abstract-algebra #polynomials #proof-writing #field-theory #euclidean-algorithm
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How to show a given bound

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#analysis #polynomials #upper-lower-bounds
674
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Degree of $P(x)$ satisfying $ \vert P(x) \vert \leq C(1+\vert x \vert)^{5/2}$

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#analysis #polynomials
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Relation between the roots of a function

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#calculus #functions #polynomials #roots
53
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How to find some monomial in the ideal $\langle x^2-y,y^2-x\rangle \subset \mathbb R[x,y]$?

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#abstract-algebra #polynomials
438
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"Chain Rule" for Finite Difference Operator

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#combinatorics #polynomials #recurrence-relations #factorial
981
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How the determine the number of real positive roots of a polynomial?

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#polynomials #roots #symbolic-computation
86
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Can this polynomial be solved over the roots of unity for $n\ge 3$?

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#polynomials #roots-of-unity
47
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Determine a and b in a polynomial long division so that the result is a polynomial

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#polynomials #quadratics
177
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Vieta's With Restrictions

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#algebra-precalculus #polynomials
109
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Prove $\frac{x^{n}}{x+y^3}+\frac{y^{n}}{y+x^3} \geqslant \frac{2^{4-n}}{5}$ for $x, y > 0$ with $x+y=1$

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#algebra-precalculus #multivariable-calculus #inequality #polynomials #jensen-inequality
74
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how to write product of real quadratic polynomials?

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#polynomials
514
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Subring of $R[X]$

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#abstract-algebra #polynomials #ring-theory
65
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Quotient and remainder of $(X^4 -7X+1)$ modulo $(2X^2+1)$ in $\mathbb Z_7[X]$

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#abstract-algebra #polynomials
24
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Existence of Irreductible polynomial

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#polynomials #irreducible-polynomials #minimal-polynomials

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