# Polynomial Equation Solver : 5th Degree

The degree of polynomial is for the single variable or the combination of two or more variables with the powers. On basis of the degree of polynomials names are assigned as follows:

The zero degree polynomial is constant. The first degree polynomial is linear.

The second degree polynomial is quadratic. The third degree polynomial is cubic.

The forth degree polynomial is quartic. The fifth degree polynomial is quintic.

And Quintics have follwoing characteristics:

One to five roots.

Zero to four extrema.

One to three inflection points.

No general symmetry.

It takes six points or six pieces of information to describe a quintic function.

Roots are not solvable by radicals

Fifth Degree Equation | ||||||||||
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x^{5} | + | x^{4} | + | x^{3} | + | x^{2} | + | x | + | |

Divided by : | ||||||||||

x | + |