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15
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Confirmation of Proof: $f(x)= x^5 - x - 16$ has at most three real roots.

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#calculus #polynomials #roots #rolles-theorem #quintics
184
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Probability that the sum of roots is negative

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#probability #polynomials #cubics
410
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How to find dimension of a given quotient vector space?

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#linear-algebra #polynomials #vector-spaces #linear-transformations #quotient-spaces
58
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How to solve $x^2+xy+y^2=(\frac{x+y}{3}-1)^3$?

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#polynomials #quadratics
52
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Order of $x$ in $\mathbb F_q[x]/(g(x))$

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#group-theory #polynomials #finite-fields
315
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Bivariate polynomials coprime implies finitely many common roots

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#polynomials #commutative-algebra #gcd-and-lcm #resultant
1k
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Finding maximum of two polynomial functions

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#functions #polynomials
1.7k
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$ \gcd(x^n-1,x^m-1)=x^d-1$

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#abstract-algebra #polynomials #gcd-and-lcm
505
Views

Equation System with 4 real variables

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#linear-algebra #polynomials #systems-of-equations #real-numbers #symmetric-polynomials
209
Views

Inequality with $x^2+y^2+z^2=3$

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#inequality #polynomials #fractions #a.m.-g.m.-inequality #cauchy-schwarz-inequality
105
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Prove that this formulae equals 3

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#algebra-precalculus #polynomials #factoring #cubics #nested-radicals
92
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Sum of polynomial ideals + intersection with vector spaces

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#polynomials #ring-theory #commutative-algebra #ideals
1.4k
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Solving a biquadratic.

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#algebra-precalculus #polynomials #quadratics
321
Views

Finding minimum value of logarithmic series

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#sequences-and-series #algebra-precalculus #polynomials #logarithms #maxima-minima
819
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If $3(a+2c) =4(b+3d)$ then the equation $a x^3 + b x^2 + c x +d =0$ will have real roots in which interval?

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#polynomials #cubics

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