Factor

1
Factor (1)

• 2x2 6x 2 ? x ? x 2 ? 3 ? x
• 2x2 6x 2 ? x ? x 2 ? 3 ? x

2x is the GCF
2x(x 3)
Now Check it!
2
Check it

• 2x(x 3)
• 2x2 6x

3
Factor (2)

• 3abc - 2a 3ab 3 ? a ? b ? c - 2 ? a 3 ? a
  ? b
• 3 ? a ? b ? c - 2 ? a 3 ? a ? b

a is the GCF
a(3bc - 2 3b)
Now Check it!
4
Check it

• a(3bc - 2 3b)
• 3abc - 2a 3ab

5
Factor (3)

• 2x - 10 2 ? x - 2 ? 5
• 2 ? x - 2 ? 5

2 is the GCF
2(x - 5)
Now Check it!
6
Check it

• 2(x - 5)
• 2x - 10

7
Factor (4)

• 8x 24y 2 ? 2 ? 2 ? x 2 ? 2 ? 2 ? 3 ? y
• 2 ? 2 ? 2 ? x 2 ? 2 ? 2 ? 3 ? y

8 is the GCF
8(x 3y)
Now Check it!
8
Check it

• 8(x 3y)
• 8x 24y

9

• Area Length Width
• Find the area of the rectangle

x
1
1
1
1
x
1
1
1
10

• (x 3)(x 4)
• x2 4x 3x 12

x2 7x 12
x
1
1
1
1
4x
x
x2
1
1
3x
12
1
11
Now Factor (5)

• x2 7x 12
• Find two numbers that Multiply to 12 and add
  up to 7.
• Draw the ( )( )
• (x __)(x __)

12
Now Factor (5)

• x2 7x 12
• (x )(x )

3
4
Notice that 3 ? 4 12 and that 3 4 7
13
Check using FOIL

• (x 3)(x 4)
• x2 4x 3x 12
• x2 7x 12

14
Find the same two numbers that multiply to equal
-10 and add up to 3
-10

5
-2
.
3

-2

5
15
Now Factor (6)

• x2 3x - 10
• Use the two Numbers that multiply to -10 and
  add up to 3
• (x 5)(x - 2)

16
Check using FOIL

• (x 5)(x - 2)
• x2 - 2x 5x - 10
• x2 3x - 10

17
Find the same two numbers that multiply to equal
6 and add up to 5
Figure it out before you click
You thought I was kidding
6

3
2
.
5

2

3
18
Now Factor (7)

• x2 5x 6
• (x 3)(x 2)
• Check (x 3)(x 2)

• x2 2x 3x 6
• x2 5x 6

19
Factor (8)

• x2 - 7x 12
• (x - 3)(x - 4)
• Check. (x - 3)(x - 4)
• x2 - 4x - 3x 12
• x2 - 7x 12

20
Factor (9)

• x2 - 3x - 10
• (x - 5)(x 2)
• Check. (x - 5)(x 2)
• x2 - 5x 2x - 10
• x2 - 3x - 10

21
Factor (10)

• 2x2 8x 8
• First factor out the GCF (2)
• 2(x2 4x 4)..Then
• 2(x 2)(x 2)
• 2(x 2)2