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Free ebook on Factoring Polynomials

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Contains more  than 200 exercises

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 TABLE OF CONTENTS 

 

Lesson 1. Factors

Lesson 2. The Simplest Case When Factoring (Polynomials that Contain a Common Factor)

Lesson 2- Exercises (1-2) 

Lesson 2-  Exercises (3-4) 

Lesson 2- Exercises (5-6)

Lesson 2 - Exercises (7-8)  

Lesson 2- Exercises (9-10) 

Lesson 3 - Factoring When the Common Factor is a Polynomial

Lesson 3 - Exercises (1-2) 

Lesson 3 - Exercises (3-4) 

Lesson 3 - Exercises (5-6) 

Lesson 3 - Exercises (7-8) 

Lesson 3 - Exercises (9-10) 

Lesson 4 - Factoring By Grouping Terms 

Lesson 4 - Exercises (1-2) 

Lesson 4 - Exercises (3-4) 

Lesson 4 - Exercises (5-6) 

Lesson 4 - Exercises (7-8) 

Lesson 4 - Exercises (9-10) 

Lesson 5 - Factoring a Perfect Square Trinomial 

Lesson 5 - Exercises (1-2)

Lesson 5 - Exercises (3-4)

Lesson 5 - Exercises (5-6) 

Lesson 5 - Exercises (7-8) 

Lesson 5 - Exercises (9-10) 

Lesson 6 - Another Type of Perfect Square Trinomials 

Lesson 6 - Exercises (1-2) 

Lesson 6 - Exercises (3-4) 

Lesson 6 - Exercises (5-6) 

Lesson 6 - Exercises (7-8)

Lesson 6 - Exercises (9-10)

Lesson 7 - Combining Different Methods of Factoring 

Lesson 7 - Exercises (1-2)

Lesson 7 - Exercises (3-4)

Lesson 7 - Exercises (5-6) 

Lesson 7 - Exerciss (7-8) 

Lesson 7 - Exercises (9-10) 

Lesson 8 - Factoring a Difference of  Squares 

Lesson 8 - Exercises (1-2) 

Lesson 8 - Exercises (3-4)

Lesson 8 - Exercises (5-6)

Lesson 8 - Exercises (7-8)

Lesson 8 - Exercises (9-10) 

Lesson 9 - Turning a Trinomial into a Perfect Square Trinomial

Lesson 9 - Exercises (1-2)

Lesson 9 - Exercises (3-4) 

Lesson 9- Exercises (5-6) 

Lesson 9 - Exercises (7-8)

Lesson 9 - Exercises (9-10) 

Lesson 10 - Factoring an Addition of Squares 

Lesson 10 - Exercises (1-2) 

Lesson 10 - Exercises (3-4) 

Lesson 10 - Exercises (5-6) 

Lesson 10 - Exercises (7-8) 

Lesson 10- Exercises  (9-10) 

Lesson 11 -  Factoring Expressions of the Type x2+bx+c 

Lesson 11 - Exerciss (1-2) 

Lesson 11 - Exercises (3-4) 

Lesson 11 - Exercises (5-6) 

Lesson 11- Exercises (7-8) 

Lesson 11 - Exercises (9-10) 

Lesson 11 (Part 2) 

Lesson 11 (Part 2) - Exercises (1-2) 

Lesson 11 (Part 2) - Exercises (3-4) 

Lesson 11 (Part 2) - Exercises (5-6) 

Lesson 11 (Part 2) - Exercises (7-8) 

Lesson 11 (Part 2) - Exercises (9-10) 

Lesson 12 - Factoring Expressions of the Type x2-bx+c 

Lesson 12 - Exercises (1-2) 

Lesson 12 - Exercises (3-4) 

Lesson 12 - Exercises (5-6) 

Lesson 12 - Exercises (7-8) 

Lesson 12 - Exercises (9-10) 

Lesson 12 (Part 2) 

Lesson 12 (Part 2) - Exercises (1-2) 

Lesson 12 (Part 2) - Exercises (3-4) 

Lesson 12 (Part 2) - Exercises (5-6) 

Lesson 12 (Part 2) - Exercises (7-8) 

Lesson 12 (Part 2) - Exercises (9-10) 

Lesson 13 - Factoring Trinomials with the Last Term Negative 

Lesson 13 - Exercises (1-2) 

Lesson 13 - Exercises (3-4) 

Lesson 13 - Exercises (5-6) 

Lesson 13 - Exercises (7-8) 

Lesson 13 - Exercises (9-10) 

Lesson 13 (Part 2) 

Lesson 13 (Part 2) - Exercises (1-2) 

Lesson 13 (Part 2) - Exercises (3-4) 

Lesson 13 (Part 2) - Exercises (5-6)

Lesson 13 (Part 2) - Exercises (7-8)

Lesson 13 (Part 2) - Exercises (9-10) 

Lesson 14 - General Product of Two Binomials 

Lesson 14 - Exercises (1-2) 

Lesson 14 - Exercises (3-4) 

Lesson 14 - Exercises (5-6) 

Lesson 14 - Exercises (7-8) 

Lesson 14 - Exercises (9-10) 

Lesson 15 - Factoring Expressions of the Type ax2+bx+c 

Lesson 15 - Exercises (1-2) 

Lesson 15 - Exercises (3-4) 

Lesson 15 - Exercises (5-6) 

Lesson 15 - Exercises (7-8)  

Lesson 15 - Exercises (9-10) 

Lesson 16 - Factoring a sum of cubes

Lesson 16 - Exercises (1-2) 

Lesson 16 - Exercises (3-4) 

Lesson 16 - Exercises (5-6) 

Lesson 16 - Exercises (7-8) 

Lesson 16 - Exercises (9-10) 

Lesson 17 - Difference of Cubes 

Lesson 17 - Exercises (1-2) 

Lesson 17 - Exercises (3-4) 

Lesson 17 - Exercises (5-6) 

Lesson 17 - Exercises (7-8) 

Lesson 17 - Exercises (9-10) 

Miscellaneous Exercises (1-2) 

Miscellaneous Exercises (3-4) 

Miscellaneous Exercises (5-6)

Miscellaneous Exercises (7-8) 

Miscellaneous Exercises (9-10)

Miscellaneous Exercises (11-12) 

Miscellaneous Exercises (13-14) 

Miscellaneous Exercises (15-16) 

Miscellaneous Exercises (17-18) 

Miscellaneous Exercises (19-20) 

Miscellaneous Exercises (21-22) 

Miscellaneous Exercises (23-24) 

Algebra - Resolviendo ecuaciones simultáneas usando la resta

Las ecuaciones simultáneas son ecuaciones que tienen dos resultados posibles. Para resolver las ecuaciones simultáneas primero debemos de encontrar el valor de una de las incógnitas y después el valor de la otra incógnita. Por ejemplo, sí tenemos ecuaciones simultáneas con incógnitas "y" y "x", entonces debemos de encontrar el valor de "x" y después el valor de "y". También puede ser al revés, primero el valor de "y" y después el valor de "x". 

Cuándo se resuelven ecuaciones simultáneas usando la resta los pasos son lo siguientes:

1. Eliminar una de las incógnitas en ambas ecuaciones usando la resta (por ejemplo, podemos eliminar "y" en ambas ecuaciones) 
2. Encontrar el valor de la incógnita restante, (sí hemos eliminado "y" entonces encontramos el valor de "x")
3. Sustituir el valor de la incógnita anterior dentro de una de la ecuaciones originales y de ese modo encontrar el valor de la otra incógnita. 

Free Course on Factoring Polynomials (Algebra)

 TABLE OF CONTENTS

 

Lesson 1. Factors
Lesson 2. The Simplest Case When Factoring (Polynomials that Contain a Common Factor)
Lesson 2- Exercises (1-2) 
Lesson 2-  Exercises (3-4) 
Lesson 2- Exercises (5-6)
Lesson 2 - Exercises (7-8)  
Lesson 2- Exercises (9-10) 

Lesson 3 - Factoring When the Common Factor is a Polynomial
Lesson 3 - Exercises (1-2) 
Lesson 3 - Exercises (3-4) 
Lesson 3 - Exercises (5-6) 
Lesson 3 - Exercises (7-8) 
Lesson 3 - Exercises (9-10) 

Lesson 4 - Factoring By Grouping Terms 
Lesson 4 - Exercises (1-2) 
Lesson 4 - Exercises (3-4) 
Lesson 4 - Exercises (5-6) 
Lesson 4 - Exercises (7-8) 
Lesson 4 - Exercises (9-10) 

Lesson 5 - Factoring a Perfect Square Trinomial 
Lesson 5 - Exercises (1-2)
Lesson 5 - Exercises (3-4)
Lesson 5 - Exercises (5-6) 
Lesson 5 - Exercises (7-8) 
Lesson 5 - Exercises (9-10) 

Lesson 6 - Another Type of Perfect Square Trinomials 
Lesson 6 - Exercises (1-2) 
Lesson 6 - Exercises (3-4) 
Lesson 6 - Exercises (5-6) 
Lesson 6 - Exercises (7-8)
Lesson 6 - Exercises (9-10)

Lesson 7 - Combining Different Methods of Factoring 
Lesson 7 - Exercises (1-2)
Lesson 7 - Exercises (3-4)
Lesson 7 - Exercises (5-6) 
Lesson 7 - Exerciss (7-8) 
Lesson 7 - Exercises (9-10) 

Lesson 8 - Factoring a Difference of  Squares 
Lesson 8 - Exercises (1-2) 
Lesson 8 - Exercises (3-4)
Lesson 8 - Exercises (5-6)
Lesson 8 - Exercises (7-8)
Lesson 8 - Exercises (9-10) 

Lesson 9 - Turning a Trinomial into a Perfect Square Trinomial
Lesson 9 - Exercises (1-2)
Lesson 9 - Exercises (3-4) 
Lesson 9- Exercises (5-6) 
Lesson 9 - Exercises (7-8)
Lesson 9 - Exercises (9-10) 

Lesson 10 - Factoring an Addition of Squares 
Lesson 10 - Exercises (1-2) 
Lesson 10 - Exercises (3-4) 
Lesson 10 - Exercises (5-6) 
Lesson 10 - Exercises (7-8) 
Lesson 10- Exercises  (9-10) 

Lesson 11 -  Factoring Expressions of the Type x2+bx+c 
Lesson 11 - Exerciss (1-2) 
Lesson 11 - Exercises (3-4) 
Lesson 11 - Exercises (5-6) 
Lesson 11- Exercises (7-8) 
Lesson 11 - Exercises (9-10) 
Lesson 11 (Part 2) 
Lesson 11 (Part 2) - Exercises (1-2) 
Lesson 11 (Part 2) - Exercises (3-4) 
Lesson 11 (Part 2) - Exercises (5-6) 
Lesson 11 (Part 2) - Exercises (7-8) 
Lesson 11 (Part 2) - Exercises (9-10) 

Lesson 12 - Factoring Expressions of the Type x2-bx+c 
Lesson 12 - Exercises (1-2) 
Lesson 12 - Exercises (3-4) 
Lesson 12 - Exercises (5-6) 
Lesson 12 - Exercises (7-8) 
Lesson 12 - Exercises (9-10) 
Lesson 12 (Part 2) 
Lesson 12 (Part 2) - Exercises (1-2) 
Lesson 12 (Part 2) - Exercises (3-4) 
Lesson 12 (Part 2) - Exercises (5-6) 
Lesson 12 (Part 2) - Exercises (7-8) 
Lesson 12 (Part 2) - Exercises (9-10) 

Lesson 13 - Factoring Trinomials with the Last Term Negative 
Lesson 13 - Exercises (1-2) 
Lesson 13 - Exercises (3-4) 
Lesson 13 - Exercises (5-6) 
Lesson 13 - Exercises (7-8) 
Lesson 13 - Exercises (9-10) 
Lesson 13 (Part 2) 
Lesson 13 (Part 2) - Exercises (1-2) 
Lesson 13 (Part 2) - Exercises (3-4) 
Lesson 13 (Part 2) - Exercises (5-6)
Lesson 13 (Part 2) - Exercises (7-8)
Lesson 13 (Part 2) - Exercises (9-10) 

Lesson 14 - General Product of Two Binomials 
Lesson 14 - Exercises (1-2) 
Lesson 14 - Exercises (3-4) 
Lesson 14 - Exercises (5-6) 
Lesson 14 - Exercises (7-8) 
Lesson 14 - Exercises (9-10) 

Lesson 15 - Factoring Expressions of the Type ax2+bx+c 
Lesson 15 - Exercises (1-2) 
Lesson 15 - Exercises (3-4) 
Lesson 15 - Exercises (5-6) 
Lesson 15 - Exercises (7-8)  
Lesson 15 - Exercises (9-10) 

Lesson 16 - Factoring a sum of cubes
Lesson 16 - Exercises (1-2) 
Lesson 16 - Exercises (3-4) 
Lesson 16 - Exercises (5-6) 
Lesson 16 - Exercises (7-8) 
Lesson 16 - Exercises (9-10) 

Lesson 17 - Difference of Cubes 
Lesson 17 - Exercises (1-2) 
Lesson 17 - Exercises (3-4) 
Lesson 17 - Exercises (5-6) 
Lesson 17 - Exercises (7-8) 
Lesson 17 - Exercises (9-10) 

Miscellaneous Exercises (1-2) 
Miscellaneous Exercises (3-4) 
Miscellaneous Exercises (5-6)
Miscellaneous Exercises (7-8) 
Miscellaneous Exercises (9-10)
Miscellaneous Exercises (11-12) 
Miscellaneous Exercises (13-14) 
Miscellaneous Exercises (15-16) 
Miscellaneous Exercises (17-18) 
Miscellaneous Exercises (19-20) 
Miscellaneous Exercises (21-22) 
Miscellaneous Exercises (23-24)