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Límites por factorización

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Límites por factorización

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Quiz de límites usando factorización

Created by

Daniel Alejandro Nieto Gomez
Daniel Alejandro Nieto Gomez
Colombia

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Límites por factorización
 

Límites por factorizaciónOnline version

Quiz de límites usando factorización

by Daniel Alejandro Nieto Gomez
1

Límite: lim x→2 (x^2−4)/(x−2)

2

Límite: lim x→−3 (x^2−9)/(x+3)

3

Límite: lim x→4 (x^3−64)/(x−4)

4

Límite: lim x→−2 (x^2−4)/(x+2)

5

Límite: lim x→0 (x^4−16x^2)/x^2

6

Límite: lim x→3 (x^2−9)/(x−3)

7

¿Qué es la factorización en álgebra?

8

¿Qué factor común extrae primero al factorizar 6x^2+9x?

9

Factoriza por diferencia de cuadrados: x^2-9

10

Factoriza 2x^2+4x

11

¿Qué paso típico en factorización de trinomios de la forma x^2+bx+c?

12

Factoriza por agrupación: ax+ay+bx+by

13

Factoriza 9x^2-4s^2

14

Factoriza 3x^2+6x+3

15

¿Qué significa factorización por factores irreducibles?

16

Factoriza x^2+5x+6

Explicación

Factoring diferencia de cuadrados: (x−2)(x+2)/(x−2)=x+2, evaluando en 2 da 4.

(x−3)(x+3)/(x+3)=x−3; sustituye x=−3.

Factor: (x−4)(x^2+4x+16)/(x−4)=x^2+4x+16; con x=4 resulta 48.

(x−2)(x+2)/(x+2)=x−2; evalúalo en −2.

Factor x^2: x^2(x^2−16)/x^2 → x^2−16; en 0 es −16.

((x−3)(x+3))/(x−3)=x+3; al 3 da 6.

La factorización expresa un polinomio como producto de factores más básicos.

Expones el menor grado y el máximo común divisor de coeficientes.

La forma a^2-b^2=(a-b)(a+b) con a=x, b=3.

Saca el factor común 2x.

Se buscan números m,n tales que mn=c y m+n=b.

Agrupas términos y factor común común en cada grupo.

Es diferencia de cuadrados: (3x)^2-(2s)^2.

Factoriza el 3 y luego completa el cuadrado: x^2+2x+1=(x+1)^2.

Factores irreducibles no tienen factores no triviales en R.

buscas pares que sumen 5 y multipliquen 6: 2 y 3.

 
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