1. Factoring Introduction

2. What are the dimensions for a rectangle with an area of x2 – 4x ft2?
What are the possible dimensions for a rectangle with an area of 24 ft2 ?
1 by 24, 2 by 12, 3 by 8, 4 by 6
What are the dimensions for a rectangle with an area of x2 – 4x ft2?
x by x-4
When you factor a polynomial, what are you doing?
Undoing multiplication
A = 24 ft2
A = x2 – 4x ft2

3. Quadratic Expressions
Quadratic expressions are polynomials that have a degree of 2
They take the standard form: 𝑎 𝑥 2 +𝑏𝑥+𝑐
Ex: 4x2 + 10x + 6.
a = _4_ b = _____10_____ c = ____6_____

4. Find an expression equivalent to x2 + 11x + 18.
Find the factors of C (18 in this case)
Find the factors of C (18) that sum to B (11)
2 and 9
Set up the two binomials with the factors
(x+2)(x+9)
Check your answer using box method/dist. property
Factors of 18
Sum of factors
1 and 18 
19 
 2 and 9
11 
3 and 6  9 

5. x2 + 6x + 8
(x+2)(x+4)
a2 + 7a + 10
(a+2)(a+5)
The area of a rectangle is x2 + 15x What is the length and width?
(x+5)(x+10)
x2 - 10x – 39
(x-13)(x+3)
x x + 75
(x-5)(x-15)
x2 + 4x – 45
(x-5)(x+9)
x2 + 4x + 4
(x+2)(x+2)