1. Factoring! What is it?
Factoring – the process of undoing multiplication
(x + 2)(x + 3) = x2 + 5x + 6
Factored Multiplied
form form

2. Factoring
x(x – 6) = x2 – 6x
Factored Multiplied
form form

3. (greatest common factor)
How do we factor?
Let’s refer to the graphic organizer.
We will start at the top.
First:
Find and remove the GCF
(greatest common factor)

4. How to Find the Greatest Common Factor (GCF
The greatest common factor of two or more whole numbers is the largest whole number that divides evenly into each of the numbers.

5. How do we find the GCF of variables?
Choose the variable with the smallest
exponent.
What is the GCF of x and x2?
What is the GCF of x3 and x?
What is the GCF of x2 and x3?

6. What is the GCF?
3x – 6
2x + 12
12x + 9
x2 – 6x
4x2 – 2x
5x3 – 15x2

7. Now let’s FACTOR by finding and removing the GCF!
Remove GCF and in parentheses write what is left
3x – GCF = 3
3( ) What is left after 3 is removed?
3(x – 2) Answer

8. How do we factor out this problem..

9. Factor – You Try!
3x – 6
2x + 12
12x + 9
x2 – 8x
4x2 – 12x
5x3 – 25x2

10. Factoring by Grouping Look at the graphic organizer!
First:
Find and remove the GCF
How many terms does the polynomial have? 4
Use factor by grouping
method

11. Let’s look at our graphic organizer
GCF
Find and remove the GCF
How many terms does the polynomial have?
trinomial 3
Use trial and error method of factoring.

12. Remember, we undo multiplying! Пам'ятайте, ми скасувати множення!
Now let’s FACTOR TRINOMIALS! 3 termsТепер letâ € ™ тричленної з ФАКТОР! 3 триместру
Remember, we undo multiplying! Пам'ятайте, ми скасувати множення!
x2 + 5x + 6
1. Is there a GCF? Чи GCF?
( x + 2 )( x )
To factor a trinomial, it breaks down into a product of binomials
Для фактора тричлена, вона розпадається на продукт біном

13. Factoring Trinomials/факторинг тричленної
x2 + 5x + 6
( x ) ( x ) x2 = x ▪ x
What are the factors of 6? Які фактори 6?
1, , , , -3
Which pair adds to be 5? Яка пара додає в 5? 2, 3
(x + 2)(x + 3) Answer

14. Factor Trinomials – You Try! Фактор тричленної - Ви спробуйте!
x2 + 7x + 12
x2 + 12x + 20
x2 – 2x – 24
x2 + 8x + 12
x2 – x – 12
x2 – 6x + 8
x2 – 11x + 24
x2 + 6x + 9

15. Let’s look at our graphic organizer
GCF
Find and remove the GCF
binomial
How many terms does the polynomial have? 2
Difference of Two Squares

16. What’s a Difference of Two Squares
Must have 2 perfect squares
Must have subtraction (difference)
A variable is a perfect square if the exponent is an even number.

17. Differences of Two Squares
IS IT A DTS?
X2 + 25
X2 – 16
X5 – 81
16x2 – 100
25x4 – 16x
X2 + 10x + 25

18. Factor. Use graphic organizer.
1. x2 – 16
2. x2 – 100