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.

#Algebra #FundamentalTheoremOfAlgebra

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$