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Unit D Concepts 3-7: Factoring (quadratics, +/- cubes, - squares, quadratic form, grouping)

Unit D Concepts 3-7: Factoring (quadratics, +/- cubes, - squares, quadratic form, grouping)

Author: Crystal Kirch
Description:

 

Factoring quadratics

Factoring sum and difference of cubes

Factoring difference of squares

Factoring quadratic form

Factoring by grouping

 

(more)
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Tutorial

Factoring like crazy!

 

Oh gosh, these five concepts are completely essential to your success in Math Analysis.  If you have struggled with factoring in the past, NOW is the time to master it.  If you have just "guessed" your way through in the past, NOW is the time to take it seriously. YOU MUST BE ABLE TO FACTOR ANY OF THESE POLYNOMIALS AT THE SNAP OF A FINGER. And, although I don't necessarily like the "drill and kill" method... that's what you will be doing for these concepts.  You've just got to practice it until it's mastered.  You can do it :)

 

 

To remind you:

Even though you may be saying, "Oh yeah, I got this"... PLEASE PLEASE PLEASE make sure to FULLY understand the details of this concept. It's MORE than just solving the problems in Math Analysis...

YOU MUST BE ABLE TO SOLVE, EXPLAIN YOUR THOUGHT PROCESSES, AND MAKE CONNECTIONS among these concepts that you have seen as "so easy" in the past.

Start yourself on the right path by taking even these "beginning concepts" seriously!

Unit D Concept 3 - Factoring Trinomials

This video will work out the examples from Concept 3. Please try all the problems on your own before watching me work them out. I will be showing you a trick with the graphing calculator starting with #2, so make sure to check that out - it will make your life much easier :)

Source: Created by Crystal Kirch using Camtasia for Mac

Unit D Concept 4 - Factoring the sum and difference of cubes (special pattern)

This video will review the formulas for the sum and difference of cubes, as well as some ways you can memorize the formulas. Please try all problems before watching me do them.

Source: Created by Crystal Kirch using Camtasia for Mac

Unit D Concept 5 - Factoring the difference of squares (special pattern)

This video will quickly review the difference of squares factoring patterns. Please try all of the problems on your own before checking your answers.

Source: Created by Crystal Kirch using Camtasia for Mac

Unit D Concept 6 - Factoring Quartic Trinomials

This video will review the factoring quartic trinomials problems. Please try all of the problems on your own before viewing this whole video.

Source: Created by Crystal Kirch using Camtasia for Mac

Unit D Concept 7 - Factoring by Grouping

This video will review the factoring by grouping problems. Please try all of the problems on your own before viewing this whole video.

Source: Created by Crystal Kirch using Camtasia for Mac

SSS Requirements

 

Before moving on, please make sure the following problems from your SSS are complete and correct, as based on what I went over in the video. 

 

Page 6-8 all problems on all pages

 

Practice Quiz (PQ) requirements

 

Before moving on, please complete the following PQ problems on your own.

  • These problems must be done on lined paper and labeled clearly with “Unit ___ Concept ___ Practice Quiz” at the top of each page.  PLEASE HIGHLIGHT THIS TITLE SO IT IS VERY CLEAR WHERE ONE ASSIGNMENT STARTS AND ENDS. 
  • You must show all work, all steps, and all thought processes for these assignments.  If you feel like you don’t need to show any work, you must explain your thought process in a few sentences.  No step by step work = no credit.
  • You must check your answers to the PQ problems (answers are on the last page of each SSS packet) and re-work through any problems you got wrong.

You must MASTER this material, so if you are getting them wrong, you need to figure out how to do them correctly.  Please contact me if you have a question (you can add a question at the end of this tutorial) and I can work out another example video for you.

 

 

​PQ 3-7 #19-107 odds 

(suggested that you also practice evens!)

*This assignment is fairly long, but it is because factoring is THAT IMPORTANT to your success this year.  You must be able to do these without even thinking...

Unit D Reflection (Concepts 3-7)

Please answer questions posed below correctly and completely.
You MUST re-watch the video if you don't know the correct answer.

Completely means:

1) Complete sentences
2) Detailed answers

Source: Created by Google Docs