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Simple Factoring Objective: Find the greatest common factor in and factor polynomials.
Greatest common factor (GCF)  ,[object Object]
Polynomial   ,[object Object]
Distributive property  ,[object Object]
Distributive Property Examples and Practice To multiply common bases with exponents: Keep the base and add the exponents.  x 2 (x 3 ) = x 5   y 4 (y 7 ) = y 11 z 23 (z 3 ) = z 26 Examples:   2(50 + 3) = 100 + 6 = 106   2(x + 3) = 2x + 6   y(x + 1) = yx + y   y(x + y 2 ) = yx + y 3     Practice:   3(10 + 6)     3(x + 6)   y(x + 6)   y(x + y 4 )
Find the Greatest Common Factor Find the greatest common factor: 10 + 5 2x – 4x 3y +6y 2 8d 3  + 4d 2  + 12d
Factoring: The distributive property in reverse:   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Factoring Practice ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Simple factoring

  • 1. Simple Factoring Objective: Find the greatest common factor in and factor polynomials.
  • 2.
  • 3.
  • 4.
  • 5. Distributive Property Examples and Practice To multiply common bases with exponents: Keep the base and add the exponents. x 2 (x 3 ) = x 5 y 4 (y 7 ) = y 11 z 23 (z 3 ) = z 26 Examples:   2(50 + 3) = 100 + 6 = 106   2(x + 3) = 2x + 6   y(x + 1) = yx + y   y(x + y 2 ) = yx + y 3   Practice:   3(10 + 6)     3(x + 6)   y(x + 6)   y(x + y 4 )
  • 6. Find the Greatest Common Factor Find the greatest common factor: 10 + 5 2x – 4x 3y +6y 2 8d 3 + 4d 2 + 12d
  • 7.
  • 8.