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Approximation of square roots

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#roots
601
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Proving that a polynomial has no roots on the unit circle

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#complex-analysis #polynomials #roots
96
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Dividing a polynomial by a polynomial of higher degree

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#number-theory #polynomials #roots #collatz-conjecture #open-problem
183
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Find the minimum values of $a^3$ and $b^3$ from the following given cubic function.

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#inequality #polynomials #roots #a.m.-g.m.-inequality
45
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Satisfying a specified accuracy in a numerical method

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#numerical-methods #roots
40
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Find number of elements $z$, $1<|z|<2$ satisfying $f(z)=0$ where $f(z)=z^5+z^3+5z^2+2$.

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#complex-analysis #roots #rouches-theorem
77
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I am trying to find all of the roots (real and imaginary) of this polynomial.

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#polynomials #roots #factoring
1.1k
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Best (fastest) method for root finding of 6th degree polynomial

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#polynomials #numerical-methods #roots
5.3k
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Find all complex numbers $z$ that satisfy equation $z^3=-8$

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#complex-numbers #roots #polar-coordinates
107
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Define constant a in way that $x^2+(3a+1)x+81=0$ solutions are complex

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#algebra-precalculus #complex-numbers #roots
39
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Can $\frac{zR(z)-aR(a)}{z-a}$ have an inside root if $R$ does not?

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#complex-analysis #roots #rational-functions
177
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If $\alpha$ and $\beta$ are roots of $(x^2)-(4x)-1=0$, find $\sqrt[3]{\alpha}+ \sqrt[3]{\beta}$

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#polynomials #roots #factoring #cubics #symmetric-polynomials
95
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Possible factorizations of a polynomial in $\mathbb{Z}_{12}$

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#abstract-algebra #polynomials #ring-theory #roots
200
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A proof on multinomial roots

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#polynomials #summation #roots #geometric-progressions #multinomial-theorem
874
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Roots of polynomial equation $x^6+2x^5+4x^4+8x^3+16x^2+32x+64=0$

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#algebra-precalculus #polynomials #complex-numbers #roots

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