1. Warmup
Factor 3n3 – 12n2 – 30n
Answer 3n(n2 – 4n -10)

2. Warm Up
Magic Diamonds – find two numbers whose product match the
number on top and whose sum matches the number on the bottom 16 16
-16 16 4 4 -4 4 -4 -4 8 2 -8 10 8 3 -1 -3
Can you do this one? -4

3. Lesson 7.3A Learning Target:
Factor polynomials in the form ax2+bx+c

4. Quadratic Equation Any equation of the form ax2 + bx + c EXAMPLE:
5x2 – 4x + 6
a = 5 b = -4 c = 6

5. Know your A, B, C’s… ax2 + bx + c Quadratic Equation (standard form):
Find the a, b, c’s of each:
x2 + 7x + 12
x2 + 6x – 16
3. x2 – 6x
4. 3x2 + 7x + 12
5. 10x2 – 6x – 16
6. 4x2 - 16
a = 3 b = 7 c = 12
a = 1 b = 7 c = 12
a = 1 b = 6 c = -16
a = 10 b = -6 c = -16
a = 1 b = - 6 c = 0
a = 4 b = 0 c = -16

6. How can we factor x2 + 9x + 20 ? x2 9x 20 ?
No common factors (except 1) x2 9x 20 ?
Use the X-box method to turn these 3 terms into 4 terms!

7. Can We Use Boxes?
YES!
ax2
+ bx
+ c
a·c X ?? ?? b

8. EX 1: x2 + 9x + 20
a = 1 b = c = 20
Find two numbers with:
product of 20
sum of 9
1,20
-1,-20
2,10
-2,-10
4,5
-4, -5
a·c 20 X 5 4 9 b
These fill in the other boxes!

9. Use the sides of the “X” to find the missing terms in the box…
x2 + 9x + 20
Use the sides of the “X” to find the missing terms in the box… 20 X 5 4 x 5 9 x x2 5x
Factored Form?
( x + 5 )( x + 4 ) 4x 20 4

10. Did you master today’s objective?
x2 + 12x + 35
x2 – 12x + 32
x2 – x – 6
(x + 7)(x + 5)
(x – 8)(x – 4)
(x – 3)(x +2)

11. Assignment 7-3a: