1. Grade Distribution
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9.5 - Common Factors

2. Common Factors Common Factors
SECTION 9.5
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9.5 - Common Factors

3. GCF
______ or known as the Greatest Common Factor is where one can take out the biggest of the same number
Factors are the numbers you multiply together to get another number.
To take out the GCF as a number, make sure to take out PRIME Numbers (excluding ONE)
Take out what is common with all of the factors
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9.5 - Common Factors

4. Example 1 Find the Greatest Common Factor of 15 and 18
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9.5 - Common Factors

5. Example 2 Find the Greatest Common Factor of 24 and 108
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9.5 - Common Factors

6. Your Turn Find the Greatest Common Factor of 20, 28, and 64
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9.5 - Common Factors

7. Example 3 Find the Greatest Common Factor of x7 and x5
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9.5 - Common Factors

8. Example 4 Find the Greatest Common Factor of x3, x7, and x5
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9.5 - Common Factors

9. Example 5 Find the Greatest Common Factor of x3 y2, x7, and x5
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9.5 - Common Factors

10. Your Turn Find the Greatest Common Factor of x11 y3, x9y, and x5 y7
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9.5 - Common Factors

11. 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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9.5 - Common Factors

12. Review
Multiply 6(x + 3)
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9.5 - Common Factors

13. Example 6
Factor 6x + 18
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9.5 - Common Factors

14. Example 7
Factor 7x2 + 35x
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9.5 - Common Factors

15. Example 8
Factor 15x4 + 6x2
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9.5 - Common Factors

16. Your Turn
Factor 27xy – 36y
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9.5 - Common Factors

17. Example 9 Factor 5x3 – 35x2 + 10x 2/17/2019 7:48 PM
9.5 - Common Factors

18. Example 10 Factor 25x4y + 15x3y + 5x2y 2/17/2019 7:48 PM
9.5 - Common Factors

19. Your Turn Factor 15x2y4 + 20x3y5 + 5x3y3 2/17/2019 7:48 PM
9.5 - Common Factors

20. 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
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9.5 - Common Factors

21. Example 11 Factor x(y + 2) + 3(y + 2) 2/17/2019 7:48 PM
9.5 - Common Factors

22. Example 12 Factor x(x – 1) + 5(x – 1) 2/17/2019 7:48 PM
9.5 - Common Factors

23. Your Turn Factor x2(y + 4) – 3y(y + 4) 2/17/2019 7:48 PM
9.5 - Common Factors

24. Example 13 Factor xy + 2x + 3y + 6 2/17/2019 7:48 PM
9.5 - Common Factors

25. Example 14 Factor ax – 2bx + ay – 2by 2/17/2019 7:48 PM
9.5 - Common Factors

26. Your Turn Factor ax2 – x2 + 2a – 2 2/17/2019 7:48 PM
9.5 - Common Factors

27. Example 15 Factor 4ax – 4ab – 2bx + 2b2 2/17/2019 7:48 PM
9.5 - Common Factors

28. Example 16 Factor 3xy – 2y – 3x + 2 2/17/2019 7:48 PM
9.5 - Common Factors

29. Your Turn Factor 3x2 + 4xy – 3x – 4y 2/17/2019 7:48 PM
9.5 - Common Factors

30. Assignment
Worksheet
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9.5 - Common Factors