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The Fundamental Theorem of Algebra

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The Fundamental Theorem of Algebra states that every complex polynomial f(X) of degree n, greater than or equal than one, has at least one complex zero.

The Factor Theorem for complex polynomials states that every complex polynomial of degree n has exactly n zeros and it can be factored as f(X)=An(X-R1)(X-R2)...(X-Rn)

The Conjugate Pair Theorem states that if f(X) is a polynomial with real coefficients and a+bi is a zero then a-bi is also a zero.

In this video we use those three theorems to find zeros of polynomials and to factor them.