
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 quartic …
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 the source of …
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 algebraic curves and …
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
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.
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 accepted statements:
How to find the equation of a quartic function given its three turning ...
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 turning point at $(...
can a quartic graph have 2 turning points? - Mathematics Stack Exchange
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, shouldn't …
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...
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 permuting the roots …