Is Y= f(x). The x values who carry that y=0 are called, equations raiz. Algebra theorem says that all polynomials from n grade have n raiz. In the real raiz, we can say tally with x values whose the function cut the abcises axis.
The polynomial raiz maybe real’s our complex. If a polynomial had coefficients: coefficients ---a0, a1, a2,… an-1, --- an real’s, however all complex raiz always will be in complex conjugate pars . For example, Cubic polynomial has the next form:
f(x)=aox3+a1x2+a2x+a3
Fundamental algebra theorem says that someone n grade polynomial, have n raiz. In cubic polynomial case we can obtain:
-3 real raiz diferents.
-1 real raiz with multiplicity 3.
-1 simple real raíz and 1 real raiz with multipliciy 2.
-1 real raiz and a complex conjugated pair
The methods to find the real raiz from algebraic equations have to method: interval method and opened method. This presentation don’t want explain every one of methods but we will classified and designated.
Referencias
*"Modelos, métodos numéricos y computadoras", Jorge Icaro Condado Jauregui, Notas del instituto de Investigación en ciencias matemáticas
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