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# Do Now PowerPoint PPT Presentation

Do Now. Find the GCF of each set of numbers. 34, 51 36, 72 21, 42, 56. Finding the GCF. For variables that ALL terms have in common, the GCF is always the smallest exponent that you have of each variable. 1)x 3 , x 5 2)z 4 , z 2. 3)12a 5 , 18a 2 4)18xy, 36y 2

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### Do Now

Find the GCF of each set of numbers.

• 34, 51

• 36, 72

• 21, 42, 56

### Finding the GCF

For variables that ALL terms have in common, the GCF is always the smallest exponent that you have of each variable.

1)x3, x5

2)z4, z2

3)12a5, 18a2

4)18xy, 36y2

5)36x2y, 54 xy2z

6)12a5c7, 24a3b2c, 18a10b4c3

### Factoring Using the GCF

Factoring with a GCF is basically the opposite of using the distributive property.

4a (3a + 4)

12a2

+ 16a

### Factoring Using the GCF

Now we’re going to start with:12a2 + 16a

and end up with:4a (3a + 4)

Steps:

• Find the GCF of ALL of the terms. The GCF will be on the outside of the ( ).

• Divide each original term by the GCF to get each term inside the ( ).

* You always have to have the same number of terms inside the ( ) as you started with.

• FACTOR 25a2 + 15a.

Find the GCF and divide each term

25a2 + 15a = 5a ( ___ + ___ )

Check your answer by distributing.

Divide each term by the GCF

18x2 - 12x3 = 6x2 ( ___ – ___ )

Check your answer by distributing.

### 3) Factor 28a2b + 56abc2.

28a2b + 56abc2 = 28ab ( __ + ___ )

Check your answer by distributing.

### 4) Factor 28a2 + 21b – 35b2c2

28a2 + 21b - 35b2c2 = 7 ( ___ + ___ – ____ )

Check your answer by distributing.

### Factor

3x2y – 27x5y3z + 18x3y7z2

### Factor 16xy2 - 24y2z + 40y2

• 2y2(8x – 12z + 20)

• 4y2(4x – 6z + 10)

• 8y2(2x - 3z + 5)

• 8xy2z(2 – 3 + 5)

### Factor 20x2 - 24xy

• x(20 – 24y)

• 2x(10x – 12y)

• 4(5x2 – 6xy)

• 4x(5x – 6y)

### Homework

Chapter 9 Packet

Pgs. 529 #’s 1 – 12