Waste less time on Facebook — follow Brilliant.

The Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra states for a n-degree equation, there are n roots, real or imaginary. Repeated roots are counted. This means there are 2 roots in a quadratic equation, 3 in a cubic, 4 in a quartic and so on.

For instance, \(x^2=4\)


The equation is quadratic, and thus there are 2 roots.



The root \(0\) is repeated \(4\) times, since the equation is quartic.

You are also welcome to prove this below.

Note by Aloysius Ng
1 year, 10 months ago

No vote yet
1 vote


There are no comments in this discussion.


Problem Loading...

Note Loading...

Set Loading...