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How to solve polynomials

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#algebra-precalculus #polynomials #roots-of-cubics
78
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geometric solution to cubic equations

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#roots-of-cubics
138
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Roots of a polynomial equation.

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#polynomials #complex-numbers #real-numbers #roots-of-cubics
50
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Hudde's cubic proof

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#algebra-precalculus #math-history #roots-of-cubics
86
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Solving a cubic equation in exact terms which is the key to solving the question in picture below

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#roots-of-cubics
258
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Solution to depressed cubics

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#polynomials #roots-of-cubics
189
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Solving a tricky equation $4x^3-5x^2-5 = 0$

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#algebra-precalculus #roots-of-cubics
196
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$\sqrt[3]{x_1} + \sqrt[3]{x_2} + \sqrt[3]{x_3} = \sqrt[3]{a},\,$ if $x_i$ are the real roots of $(x+b)^3 - a x^2$

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#polynomials #cubics #roots-of-cubics
109
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$\sqrt[3]{x_1} + \sqrt[3]{x_2} + \sqrt[3]{x_3} = \sqrt[3]{z}$ if $x_i$ are the real distinct roots of $(x+y)^3 - x^2 z + f x z( x + y + f^2/27 z)$

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#cubics #roots-of-cubics
64
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Signs in the Cardano formula

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#algebra-precalculus #polynomials #cubics #derivation-of-formulae #roots-of-cubics
99
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Homographic relation between two roots of a cubic

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#cubics #roots-of-cubics
77
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Involution on $2\times 2$ matrices

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#matrices #cubics #invariant-theory #schur-complement #roots-of-cubics
60
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Involution on monic cubic polynomials related to nesting/denesting of cubic radicals

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#cubics #involutions #roots-of-cubics
40
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Order $3$ linear transforms invariating a binary cubic form

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#cubics #invariant-theory #roots-of-cubics
367
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Find all real numbers $a$ for equation $x^3 + ax^2 + 51x + 2023=0$, has two equal roots.

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#algebra-precalculus #polynomials #roots #cubics #roots-of-cubics

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