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Polinomios: qué son

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Polinomios: qué son

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Conceptos básicos sobre polinomios

Created by

Carlos Guzmán
Carlos Guzmán
Guatemala

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Polinomios: qué son
 

Polinomios: qué sonOnline version

Conceptos básicos sobre polinomios

by Carlos Guzmán
1

Definición básica

Un polinomio es una expresión algebraica formada por sumas y restas de términos del tipo a·x^n, donde a es un coeficiente y n es un entero no negativo.
2

Componentes principales

Los elementos clave son coeficientes, variables y exponentes enteros no negativos. La estructura imita una suma de monomios con potencias de la misma o distintas variables.
3

Monomio versus polinomio

Un monomio es un solo término. Un polinomio es la suma de dos o más monomios, o incluso uno solo, si se considera.
4

Coeficientes

Los coeficientes son números que acompañan a las potencias de la variable. Pueden ser positivos, negativos o iguales a cero.
5

Grados del polinomio

El grado es el mayor exponente de la variable con coeficiente distinto de cero. Indica la complejidad y el comportamiento de la función.
6

Términos y nombre

Cada término del polinomio es un monomio. Un polinomio puede contener términos semejantes que pueden combinarse.
7

Ejemplos simples

Ejemplos: 3x^2, -5x, 2x^3+4x-7. Cada término tiene coeficiente y exponente que lo define.
8

Operaciones básicas

Se pueden sumar, restar, multiplicar y, en algunos casos, dividir polinomios. La simplificación agrupa términos semejantes.
9

Aplicaciones prácticas

Los polinomios modelan cantidades en física, economía y geometría. Se utilizan para aproximar funciones y resolver ecuaciones.
10

Resumen de ideas

Un polinomio es una suma de monomios con potencias enteras no negativas. Su grado, coeficientes y términos definen su forma y uso.
 
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