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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, 9 months ago

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