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  1. General formula for solving quartic (degree $4$) equations

    Jul 28, 2010 · 149 There is, in fact, a general formula for solving quartic (4th degree polynomial) equations. As the cubic formula is significantly more complex than the quadratic formula, the …

  2. Quartic Equation Solution and Conditions for real roots?

    8 Q1. How to solve a Quartic Equation. There is an online calculator available (and many more similar) that gives the precise answers and also defines the method. Does anyone know what …

  3. Types of polynomial functions. Quadratic, cubic, quartic, quintic,

    While they do start getting awkward quickly, the next few ordinals are fairly well-defined, largely because of their occasional usage in solving cubic and quartic equations and in defining …

  4. Roots of a Quartic (Vieta's Formulas) - Mathematics Stack Exchange

    Apr 19, 2016 · Roots of a Quartic (Vieta's Formulas) Ask Question Asked 9 years, 7 months ago Modified 9 years, 7 months ago

  5. Factorization of quartic polynomial. - Mathematics Stack Exchange

    Jan 3, 2017 · A quartic is never irreducible over real polynomials. It always has at least one factorization into two quadratic factors. Finding those factors is the tricky part.

  6. Solving quartic equations - Mathematics Stack Exchange

    Sep 15, 2015 · Solving the linear, quadratic, cubic and quartic equations (how to reconstruct the solution for them - step by step, for easy memorization): We make use of the following …

  7. How to find the equation of a quartic function given its three …

    May 1, 2020 · I am trying to find the equation of a quartic function given its three turning points. Here is the information I have: maximum turning points at $(-12, 1)$ and $(-6,1)$; minimum …

  8. can a quartic graph have 2 turning points? - Mathematics Stack …

    May 10, 2016 · For a quartic function, setting the first order derivative equal to zero should give us the local extrema. Since the first derivative is a cubic function, which can have three real roots, …

  9. Discriminant of the cube, quartic... - Mathematics Stack Exchange

    I was told the discriminant of the cubic is $$\\Delta=-27q^2-4p^3$$ and that $\\Delta>0$ means that there are three real roots. Simply put, why is this the discriminant? I ask this because, look...

  10. Complex Roots of a Quartic Equation - Mathematics Stack Exchange

    Mar 20, 2017 · I just finished reading Lagrange's method for solving quartic equations and my textbook really didn't go into detail much for this section. All that he talked about was how …