Fundamental Theorem of Algebra- A German mathematician, Carl Friedrich Gauss, is credited with proving this theorem.

If P(x) is a polynomial of degree , then P(x)=0 has exactly n roots, including multiple and complex roots.

-Quadratic polynomial equations have 2 roots

-Cubic polynomial equations have 3 roots

Every polynomial equation of degree has exactly n roots, which includes multiple and complex roots.

There is at least one complex zero, when the polynomial function of degree is greater than 1.

Every polynomial of degree where n is greater than 1 has n linear factors.


To find the zeroes of a polynomial in the calculator follow the steps below:


 


Practice Problems

1. Find the number of roots: 2-x4+x2=0

2. Find all the zeroes: P(x)=x4-4x3-x2+20x-20

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