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Magnitudes of roots of random polynomials

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#polynomials #roots #random
320
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Polynomial $f(x)$ over $\mathbb{R}$ has $k$ distinct roots, then $f(x) + a$ too

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#calculus #polynomials #roots
1k
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Irreducible polynomial in $\mathbb Q[x]$ of degree $n$ having exactly $n-2$ real roots.

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#abstract-algebra #roots #irreducible-polynomials
152
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Polynomial in $\mathbb Q[x]$ with exactly 2 complex roots

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#polynomials #galois-theory #roots #irreducible-polynomials
39
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Discriminant with non-Real result

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#roots
92
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Prove that the rounding error can contaminate half the digits of computed root

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#numerical-methods #roots #error-function #error-propagation
2.2k
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Which are the conditions for a biquadratic equation to have $~4~$ different roots?

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#roots #quadratics
42
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How do I solve this quadratics problem?

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#roots #factoring #quadratics
238
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Why is this answer wrong? (quadratic functions)

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#roots #quadratics
242
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Find the speed of a jet given the time of travel back and forth

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#algebra-precalculus #roots #factoring #quadratics
1.7k
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Müller's Method

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#polynomials #numerical-methods #roots
431
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Solving a radical equation for real roots

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#calculus #derivatives #polynomials #roots #radicals
607
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Show that $\frac{1}{x}-\sin(x)$ has exactly one root in the interval $(0,\frac{\pi}{2}]$

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#limits #functions #roots
70
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Roots of polynomial equations

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#polynomials #roots
153
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find coefficients of a polynomial given k roots

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#induction #roots

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