The document provides examples of factoring quadratic expressions using different techniques like finding the greatest common factor, difference of squares, and perfect square trinomials. It also reviews the formulas for factoring the square of a sum and square of a difference and provides a test review with additional practice problems. The review is intended to prepare students to factor a variety of quadratic expressions using various factoring methods.

1. March 11, 2013

2. Warm Up
1. 2.

3. Warm Up
3. Find the length & width:
A = 70 x+1
(x + 4)(x + 1) = 70
x+4 x2 + 5x + 4 = 70

4. Warm Up
4. 2x(x - 3) + 9(3 - x)
5. (x3 - 64x)
6. (x4 - 81) = (x2 - 9) (x2 + 9)
= (x + 3)(x + 3)(x2 + 9)

5. Khan: Poly 2
1. 3x3 + 6x2 –189x 2. -4x3 + 32x2 – 60x
3. 4x2 - 20x –56 4. -3x3 - 3x2 + 216x
***5. x2 - 6xy - 16y2
Everyone who completes 8 consecutive or 25
total correct questions by Tuesday, 7:00 pm, will
receive 100%

6. Review:
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.

7. Review:
Difference of Two Squares
Another shortcut for factoring a trinomial is when
we want to factor the difference of two squares.
a2 – b2 = (a + b)(a – b)
A binomial is the difference of two squares if:
1.Both terms are squares and
2.The signs of the terms are different.
9x2 – 25y2
– c4 + d4

8. Review:
Square of Sums:
All +, + perfect square trinomials
1. (x + 1) 2 factor into square of sum binomials.
2. (3x + 1)2 The product of a Square of a Sum
binomial (a + b)2 is:
a2 + 2ab + b2

9. Review:
Square of a Difference:
2 All -, + perfect square trinomials factor
1. (x - 4)
into square of difference binomials.
2. (3x - 1)2
The product of a Square of a difference binomial
(a - b)2 is:
a2 - 2ab + b2

10. Test Review:
1. x3 – 3x2 –16x + 48 2. x2 – 7x + 10
3. 8x2 + 2x - 3 4. 3a3b2 + 21a3b + 36a3

11. Class Work:
Factoring Frenzy:
1-20; All
Must Show Work on Scratch Paper!!