WOLFRAM|DEMONSTRATIONS PROJECT

Algebraic Solutions to Polynomial Equations

​
coefficient of
4
x
0
coefficient of
3
x
0
coefficient of
2
x
1
coefficient of x
1
constant term
2
2
x
+x+2 = 0
x
1
2
(-1-
7
)
This shows one of the solutions of the equation. The algebraic formulas for solutions to polynomial equations rapidly become very complicated. Above quartics, no such formulas can generally be found.