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Los Polinomios

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Los Polinomios

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Descubre polinomios y operaciones básicas

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Leydis
Leydis
Venezuela

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Los Polinomios
 

Los PolinomiosOnline version

Descubre polinomios y operaciones básicas

by Leydis
1

Introducción

Los polinomios son expresiones algebraicas formadas por suma y multiplicación de términos con potencias enteras de una o más variables.

2

Definición

Un polinomio es la suma de términos del tipo coeficiente × variable^exponente, donde los exponentes son enteros no negativos.

3

Grado

El grado de un polinomio es el mayor exponente de sus términos con coeficientes no nulos. Determina la escala del polinomio.

4

Forma estándar

La forma estándar agrupa por grados: a_n x^n + ... + a_1 x + a_0. Los coeficientes a_i se llaman coeficientes del polinomio.

5

Suma y resta

Para sumar o restar polinomios, se agrupan términos con la misma potencia de la variable y se operan sus coeficientes.

6

Multiplicación

La multiplicación usa la distributiva: cada término de un polinomio se multiplica por cada término del otro, combinando potencias.

7

División

La división de polinomios se realiza por división larga o sintética, buscando cociente y resto, cuidando potencias y signos.

8

División

La división de polinomios se realiza por división larga o sintética, buscando cociente y resto, cuidando potencias y signos.

9

Factorización

La factorización descompone un polinomio en productos de factores simples: factor común, diferencias de cuadrados y trinomios básicos.

10

Raíces y teoremas

Una raíz anula al polinomio. El teorema del factor y el teorema del residuo facilitan hallar raíces mediante divisiones.

11

Aplicaciones y ejemplos

Modelan movimiento, crecimiento y física. Practica con ejemplos simples para afianzar operaciones, factorización y raíces en polinomios.
 
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