1. Do NOW Factor (2x–2y4)5/2 Factor and simplify, (2x – y)4
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3.4 - Factoring with GCF

2. Worksheet Key
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3.4 - Factoring with GCF

3. 4/7/2019 7:27 AM
3.4 - Factoring with GCF

4. Example 9
You have a $10 gift card to a paint store. The store is offering 15% off your entire purchase of any paints and painting supplies. You decide to purchase a $30 can of paint and $25 worth of painting supplies. You have the option to use the gift card or the discount first. Which one should you first? Justify your reasoning.
Total amount of paying for paint:
Function for the $10 gift card:
Function for the 15% discount:
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6.3 - Function Operations

5. Example 9
You have a $10 gift card to a paint store. The store is offering 15% off your entire purchase of any paints and painting supplies. You decide to purchase a $30 can of paint and $25 worth of painting supplies. You have the option to use the gift card or the discount first. Which one should you first? Justify your reasoning.
Use the 15% discount first: Use the Gift Card first:
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6.3 - Function Operations

6. 4/7/2019 7:27 AM
3.4 - Factoring with GCF

7. Section 6-4 Viet.dang@humble.k12.tx.us
Factoring with the GCF
Section 6-4
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3.4 - Factoring with GCF

8. Review Find the Greatest Common Factor (GCF) of 28 and 40
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3.4 - Factoring with GCF

9. Example 1 Find the Greatest Common Factor (GCF) of 15, 18, and 66
3.4 - Factoring with GCF

10. Example 2 Find the Greatest Common Factor (GCF) of x3, x7, and x5
3.4 - Factoring with GCF

11. Your Turn Find the Greatest Common Factor (GCF) of x3 y2, x7, and x5
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3.4 - Factoring with GCF

12. STEPS IN FACTORING POLYNOMIALS
Determine if there is a GCF in the polynomial.
If there is, divide the whole equation by the GCF.
Put aside the GCF and focus on the factored equation
Factor out the polynomial (put in parentheses)
Bring in the GCF into equation and the factored polynomial
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3.4 - Factoring with GCF

13. Example 3
Factor: 6x + 18
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3.4 - Factoring with GCF

14. Example 4 Factor: 5x3 – 35x2 + 10x 4/7/2019 7:27 AM
3.4 - Factoring with GCF

15. Example 5 Factor: 25x4y + 15x3y + 5x2y 4/7/2019 7:27 AM
3.4 - Factoring with GCF

16. Your Turn Factor: 15x2y4 + 20x3y5 + 5x3y3 4/7/2019 7:27 AM
3.4 - Factoring with GCF

17. Steps by Factor by Grouping
Draw a line in between the two equations
Factor the GCF on both sides and bring down the sign
Make sure the parentheses the same and bring it down
Bring down both coefficients & create the factor
Always bring down the sign from the second factor
Order does not matter in terms of the factors
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3.4 - Factoring with GCF

18. Example 6 Factor: a2(b + 1) + 2(b + 1) 4/7/2019 7:27 AM
3.4 - Factoring with GCF

19. Example 7 Factor: 5ax – 5ab – 2bx + 2b2 4/7/2019 7:27 AM
3.4 - Factoring with GCF

20. Your Turn Factor: 3x2 + 4xy – 3x – 4y 4/7/2019 7:27 AM
3.4 - Factoring with GCF

21. Example 8
Factor: x4 – 81
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3.4 - Factoring with GCF

22. Example 9
Factor: x4 – 625
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3.4 - Factoring with GCF

23. Your Turn
Factor: x4 – 1
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3.4 - Factoring with GCF

24. Assignment
Worksheet
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3.4 - Factoring with GCF