#6.5 contd.

• (14-30) even
• (32-36) all

Happy Halloween!

Be safe!

#6.5 Rational Root Theorem

• (2-12) even

#6.4 Polynomials and Polynomial functions

• (12-32) even

if you don't understand how to do a question, post the actual question with the directions.

Don't tell me that you don't understand #12.

Write: I don't understand #12. Factor: x^3 + 64.

I will log on periodically throughout the weekend to answer your questions.

Have a PG-13 weekend!

#6.4 Solving Polynomials Preview

• Lesson preview problems 1-6 on pg. 321
• define: sum of cubes and difference of cubes
• create the beginning of #6.4 notes on graph paper so that way I can begin teaching as soon as the class starts:

#6.4 Solving Polynomials

Aim 1: to solve polynomials by graphing (yes, you need graph paper tomorrow!)

leave some space for examples

Aim 2: to know and use the sum and difference of cubes to solve equations

leave lots of space for examples

Aim 3: to solve a polynomial equation

leave lots of space for examples

Aim 4: to factor a polynomial by using a quadratic form

leave lots of space for examples

Aim 5: to solve a higher degree polynomial equation

#6.3 Dividing Polynomials (again)

• (38-54) even
• (61-64) all
• don't forget to check-in! Please identify what period you are in!
• don't forget to review for your Q. 6.1-6.3 that you are getting tomorrow!

#6.3 Dividing Polynomials

• (2-32) even

2 extra credit points for the first person who posts a correct solution to a problem

maximum points per student = 2

Since there are 16 problems for HW, then 16 out of the 90 Algebra 2 students that I teach can get extra credit. First come, first serve! I won't have more than 20 extra credit points this quarter so take advantage when you can! Since there are more students than there are problems, someone better get extra credit for every problem!

#6.1 Polynomial Functions

• (34-58) even

#6.2 Polynomials and Linear Factors

• (2-12) even
• (16-28) even

#5.8 The Quadratic Formula

• (2-30) even
• put the Quadratic Formula to a song---you will be singing it in front of class for a grade (25 points). You can do it by yourself or with a friend. Your choice. I don't care if you use Pop Goes the Weasel (there is a link to the right -----------------------------------------------------------------------> if you want to practice to Pop Goes the Weasel) or Alicia Keys, whatever. You choose. I just want you to know the quadratic formula. And no, you will not be able to use a note card when you're singing. That would be defeating the purpose. Just in case you don't know the lyrics to your song, here they are (yes, I added a couple of words at the beginning):
• "x equals the opposite of b plus or minus the square root of b squared minus 4ac all over 2a"
• (32-38) even -- just copy these
• copy the definition of the Discriminant of a Quadratic Equation on pg. 287
• copy the green box on pg. 288
• copy the Summary orange box on pg. 289
• I will go over all of these things tomorrow. Just make sure you have them copied BEFORE coming into class!

5 extra credit points!

for the first person to CORRECTLY post a solution/explanation to a problem. This means that 15 people can receive extra credit this evening since there are 15 problems for HW!

#5.7 Completing the Square

• (2-32) even

Aim 2: to rewrite a quadratic eqn in vertex form by completing the square

Sorry, I forgot to teach it in class today so here are the notes. Please copy them and add them to your notes from today.

Write in vertex form:

Example a:

y = x^2 + 6x + 2

move the +2 over a few spaces

y = x^2 + 6x + ? + 2

now complete the square:

y = x^2 + 6x + 9 + 2 - 9

we minus 9 at the end because we want to keep the equation balanced. So, if you add 9 to ONE side, you must also minus 9 on the SAME side to keep the equation the balanced.

now factor the perfect square trinomial of x^2 + 6x + 9 and calculate 2-9 for a final answer of:

y = (x+3)^2 - 7

Now, if I wanted to, I could take this one step further and ask you to identify the vertex which would be:

the vertex is at (-3, -7)

Example b:

y = x^2 - 10x - 2

move the -2 over a few spaces

y = x^2 -10x ? - 2

now complete the square:

y = x^2 - 10x + 25 - 2 - 25

we minus 25 at the end because we want to keep the equation balanced. So, if you add 25 to ONE side, you must also minus 25 on the SAME side to keep the equation the balanced.

now factor the perfect square trinomial of x^2 - 10x + 25 and calculate -2-25 for a final answer of:

y = (x-5)^2 - 27

Now, if I wanted to, I could take this one step further and ask you to identify the vertex which would be:

the vertex is at (5, -27)

5 extra credit points to the first person to correctly post a solution/explanattion to a problem. since there are 16 problems for HW tonight, 16 students will be receiving extra credit.

#5.6 Complex Numbers

• (2-46) even

second hour: Here is the last Aim that we didn't get to in class because we ran out of time. Please copy and make it part of your notes for today.

Aim 6: to find complex solutions

Example a:
Solve 4x^2 + 100 = 0

isolate x^2 by subtracting 100 to get:

4x^2 = -100

find the square roots of both sides to get:

2x = 10i and 2x = -10i

solve for x to get your final answers of:

x = 5i, -5i

Example b:
Solve 3x^2 + 48 = 0

isolate 3x^2 by subtracting 48 from both sides to get:

3x^2 = -48

solve for x^2 by dividing by 3 on both sides to get:

x^2 = -16

find the square roots of both sides to get:

x = 4i and x = -4i

Factoring contd.

• AWP pg. 100 from the long worksheet that has 13 worksheets on it!
• use the symbol "^" to mean "raised to". For instance, x squared is written x^2. This symbol can be done by typing simultaneously holding the "shift" and "6" keys.

Have a PG-13 weekend!

5 Extra credit points to the first person to post a correct solution/explanation to a problem. There are 12 problems in all. Therefore, a total of 12 people can get extra credit this weekend!

P.S. Happy Birthday, Brandon!

#5.4 Factoring contd.

• Aim 5: to factor a difference of squares
• AWP pg. 95

5 extra credit points to the first student to post the correct answer to each question.

That means that 14 different people can receive extra credit tonight since there are 14 problems! Periods 2 and 3 students can't give the answers to the problems we did in class.

You MUST SHOW how you arrive at your answer in order to receive the extra credit!

#5.4 Factoring

• Aim 1: to factor out a GCF
• Aim 2: to factor a trinomial in the form of ax^2+bx+c where a = 1
• Aim 3: to factor by grouping
• Aim 4: to factor a trinomial in the form of ax^2+bx+c where a>1
• AWP pg. 91
• AWP pg. 92