1. The document provides notes and assignments for a math class. It summarizes topics covered in class including factoring perfect square trinomials and special case binomials. 2. Upcoming assignments include a Khan Academy assignment due Sunday and a test on factoring trinomials and binomials on Tuesday. Late work policies are outlined. 3. Sample problems are worked through for factoring perfect square trinomials and special case binomials like the difference and sum of squares. Students are to complete similar practice problems for homework.

1. March
8
Today:
Warm-Up
Perfect Square Trinomials
Special Case Binomials
Class Work

2. News & Notes
1. Khan Academy due this Sunday (2 topics)
2. Test on Tuesday, March 10th. Factoring by
Grouping, Factoring x2 + bx + c and ax2 + 2x + c trinomials.
3.Class work will only be accepted on the day given or the next
class day. If you do not finish in class, you must complete the
assignment at home and return it the next day.
Khan Academy affected as well. Late work (80% max), must be
completed by Monday @ 7:00 pm. No credit given after that.
4. Assignments cannot be put off till a later date. There is no
later date anymore.

3. Warm- Up Exercises
1. 3 -2
4
4 2
3
= 16/9;
2. 1___
(-2) -3
= 1 ÷ 1/23
= 1 x -23
= -8

4. Warm- Up Exercises
3. 4x5y2_ -1
12x2y4
= 12x2y4 1
4x5y2
= 3x-3y2
= 3y2
x3

5. Factoring Polynomials:
So far, we have factored binomials, such as: (8x2 + 2x3)
2x2(4 + x)
Trinomials, such as: x2 + 7x + 12
(x + 4) (x + 3)
And the difference of squares: x4 - 16
(x2 - 4) (x2 + 4)
Lastly, we look at factoring perfect square trinomials
such as: x2 + 10x + 25

6. Perfect Square Trinomials :
x2 + 10x + 25
A. What is a perfect square trinomial?
1. The first term is a perfect square
2. The third term is a perfect square
3. Multiply the square root of the 1st term coefficient
by the square root of the 3rd term coefficient. The 2nd
term should be twice this amount.
1 x 5 = 5; 2 x 5 = 10, the 2nd term coefficient.

7. Perfect Square Trinomials :
x2 + 10x + 25
B. How to factor a perfect square trinomial?
1. x2 + 10x + 25:
(x + 5) (x + 5); = (x + 5)2
2. x2 - 12x + 36
(x - 6) (x - 6); = (x - 6)2

8. Perfect Square Trinomials :
State whether the following are perfect square trinomials:
1. x2 - 16x + 64 2. x3 + 10x + 25
3. x2 - 10x - 25 4. 16x2 - 56x + 49
5. 1 + 6x + 9x2
Factor the following perfect square trinomials:
1. x2 + 2xy + y2 2. x2 - 2xy + y2
3. x2 - 16x + 64 4. 25x2 + 20xy + 4y2
1. (x + y)2 2. (x - y) 2 3. (x - 8) 2 4. (5x + 2y)2

9. Special Case Binomials :
Square of Sums:
1. (x + 1) 2 2
(x + 2x + 1) 3. (4x + 5) 2
(16x2 + 40x + 25)
2. (3x + 1)2 (9x2 + 6x + 1)
All +, + perfect square trinomials factor into square of
sum binomials.
The product of a Square of a Sum binomial (a + b)2 is:
a2 + 2ab + b2

10. Special Case Binomials :
Square of a Difference:
1. (x - 4) 2 2
(x - 8x + 16) 3. (4x - 5) 2
(16x2 - 40x + 25)
2. (3x - 1)2 (9x2 - 6x + 1)
All -, + perfect square trinomials factor into square of
difference binomials.
The product of a Square of a difference binomial
(a - b)2 is:
a2 - 2ab + b2

11. Special Case Binomials :
Product of a Sum and a Difference:
1. (6x - 5)(6x + 5) (36x2 - 25)
2. (m - 10)(m + 10) (m2 - 100)
The product of a Sum and a difference is:
a2 - b2
which is: The difference of squares
or:
The factored form of a difference of squares:(a2 - b2)
is: The product of a sum and a difference

12. Class Work: