Severity: 8192
Message: Creation of dynamic property CI_URI::$config is deprecated
Filename: core/URI.php
Line Number: 101
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Router::$uri is deprecated
Filename: core/Router.php
Line Number: 127
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$benchmark is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$hooks is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$config is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$log is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$utf8 is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$uri is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$exceptions is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$router is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$output is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$security is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$input is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$lang is deprecated
Filename: core/Controller.php
Line Number: 75
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property Divisionalgebraica::$load is deprecated
Filename: core/Controller.php
Line Number: 78
Backtrace:
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$benchmark is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$hooks is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$config is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$log is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$utf8 is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$uri is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$exceptions is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$router is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$output is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$security is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$input is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$lang is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
Severity: 8192
Message: Creation of dynamic property CI_Loader::$load is deprecated
Filename: core/Loader.php
Line Number: 925
Backtrace:
File: /home/carpecom/public_html/application/controllers/Divisionalgebraica.php
Line: 9
Function: view
File: /home/carpecom/public_html/index.php
Line: 315
Function: require_once
División Algebraica: Es la operación inversa a la multiplicación, tiene por objeto hallar una expresión algebraica llamado cociente; obtenida de otras dos expresiones algebraicas llamadas dividendo y divisor, de tal forma que el valor numérico del cociente sea igual al cociente de los valores numéricos del dividendo y divisor, para cualquier sistema de valores atribuidos a sus letras.
✍ Dividendo: D
✍ Divisor: d
✍ Cociente: Q
✍ Resto o Residuo: R
A) Cociente exacto (R = 0).- El resto de la división es un polinomio idénticamente nulo.
D = d Q ó D/d = Q |
B) Cociente inexacto (R ≠ 0).- El resto de la división es un polinomio no nulo.
D = d Q + R ó D/d = Q + R/d |
✍ En toda división algebraica el grado del cociente es igual al grado del dividendo menos el grado del divisor.
Qº = Dº - dº |
✍ En toda división algebraica el grado del residuo máximo es una unidad menos que el grado del divisor.
Rº max = dº - 1 |
✍ En toda división algebraica el término independiente del dividendo es igual al producto de los términos independientes del divisor por el cociente más el término independiente del residuo.
T.ID = T.Id x T.IQ+ T.IR |
✍ Cuando se dividen polinomios homogéneos, el cociente y residuo, también son homogéneos, pero el grado absoluto del residuo es igual al grado absoluto del dividendo.
G.A. (R) = G.A. (D) |
I.- Para el caso de dos monomios:
✍ Se dividen los signos de acuerdo a la regla de los signos.
+ |
= |
+ |
+ |
= |
- |
+ |
- |
||||
- |
= |
+ |
- |
= |
- |
- |
+ |
||||
✍ Se dividen los coeficientes.
✍ Se dividen las letras aplicando las leyes de exponentes.
II.- Para el caso de dos polinomios:
Podemos utilizar cualquiera de los siguientes métodos:
✍ Método general o normal.
✍ Método de los coeficientes indeterminados.
✍ Método de Horner.
✍ Regla de Ruffini.
Observación:
En la división de dos polinomios estos deben ser completos y ordenados en forma descendente, con respecto a una letra llamada ordenatriz; si faltase alguna variable, ya sea en el dividendo o en el divisor, se completarán con ceros.
❋ Cita: Carpetapedagogica.com (2020). "División Algebraica".
Artículos educativos:
Recurso educativo: Matemáticas.
Descripción: Edublog de artículos educativos sobre diversos temas de aritmética, geometría, álgebra y trigonometría.
Curso: Matemática.
© 2007 - 2026 Carpetapedagogica.com | Desarrollado por Rolando Rios Reyes