### R.6 Factoring

1: Introduction and Common Factor

This video covers:

*Factoring is the most important process that you will learn in College Algebra and subsequent classes

*Review of Polynomial Classification (naming polynomials), Addition/Subtraction/Multiplication of Polynomials

*The difference between dividing and factoring

*The 'Common Factor' technique, when you should look for it, and what it looks like

*How to check the common factor technique

Examples:

2: Factor by Grouping

This video covers:

*The steps of 'Factor by Grouping' using the Common Factor technique

*How many terms emphasizes Factor by Grouping

*Why to use underlines rather than parenthesis to group the terms

*Why the parenthesis must match for Factor by Grouping to work

*How to check the Factor by Grouping technique

*Why your final format should have parenthesis around both sets of terms

Examples:

3: Factor by Trinomial Introduction and Simple Examples

This video covers:

*Review of the FOILing process because it is the opposite than the factor by Trinomial technique

*Factor by Trinomial technique using the FOIL process backwards, including the proper signs

*How many terms emphasizes the Trinomail technique

*What order the set of parenthesis should be in

*How to check the factor by trinomial method

Examples:

4: Factoring More Complicated Trinomials

This video covers:

*Reminder that polynomials should always be in descending order, especially before you try to factor them

*Reminder to always look for any common factors first

*Why trinomial factoring is more difficult when you have a number with the first term

*What numbers to start with in the guess and check method

*A helpful hint with trinomials and common factors

*A suggestion to not erase you trial and errors, so you don't keep trying the same combination

*Reminder of how to check your trinomial factoring

*Reminder of what descending order looks like with two variables

*When to condense the two factors as a binomial squared

Examples:

5: Factoring the Difference of Squares

This video covers:

*Review of all the other techniques so far (up until 3:15)

*How many terms emphasizes the Difference of Squares technique

*How the name, Difference of Squares, fully explains this technique - it must be the difference (subtraction)

*How this is a special case of the opposite of FOILing

*What the signs of Difference of Squares are guaranteed to be

*How to check the difference of square techniques

*Reminder to check that the polynomial is in descending order and to look for common factors first

*Just because you factored using one technique doesn't mean you have finished factoring - always look to factor farther!

*Review of the vocabulary word, conjugates

*The formula of difference of squares

Examples:

6: Factoring the Sum and Difference of Cubes

This video covers:

*The similarity between 'Difference of Squares' and 'Sum/Difference of Cubes'

*The formula for each of the Sum and Difference of cubes

*How many terms emphasizes the Sum/Difference of Cubes technique

*Reminder to check that the polynomial is in descending order and to look for common factors first

*Suggestion to put the polynomial in the formula format before trying to factor

*Reminder of just because you factored using one technique doesn't mean you have finished factoring - always look to factor farther!

*Hint the second set of parenthesis will never factor as a trinomial even though it always has three terms

*How to check the sum/difference of cube technique by multiplying out the polynomials

Examples:

7: Factoring Out Negatives

This video covers:

*When it is best to factor out a negative

*Reminder to check that the polynomial is in descending order and to look for common factors first

*Reminder of just because you factored using one technique doesn't mean you have finished factoring - always look to factor farther!

*Reminder to always check factoring by multiplying it out

Examples:

8: Factoring Completely

This video covers:

*Review of all the factoring techniques

*The checklist that you should follow when factoring any polynomial - how all the techniques work together

*Reminder to check that the polynomial is in descending order and to look for common factors first

*Reminder of just because you factored using one technique doesn't mean you have finished factoring - always look to factor farther!

*Reminder to always check factoring by multiplying it out

*Reminder to copy all work from step to step so you don't lose any important details

*Reminder that factoring is your 'best friend', the most important technique for college algebra and any subsequent classes

Examples:

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