Complex Numbers - Factorising Polynomials in the Complex Domain
Автор: Harold Walden
Загружено: 2019-01-01
Просмотров: 998
#Mathematics #Complex #Factorisation
Link to document with a fully worked solution:
https://drive.google.com/file/d/1UPMI...
Every polynomial p(z) of degree n has at least one
root in the set of complex numbers. That is, there is at least one number α such that p(α)=0.
Ok, so, how do we do that? Well, let us solve this equation for z. Find the zeroes of the roots of the polynomial.
Ok, once you know that, the factor theorem says we can write p(z) like this.
Ok, so we have that other questions like the first part. So let us just refresh our memory.
The question asks;
Consider g(z)=z^3+9z^2+28z+20
Factorise g(z) over a complex domain.
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