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# 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, $$x^2=4$$

$$x=2,-2$$

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

$$x^4=0$$

$$x=0$$

The root $$0$$ is repeated $$4$$ times, since the equation is quartic.

You are also welcome to prove this below.

Note by Aloysius Ng
2 years, 1 month ago