1 / 12

Factoring GCF and Trinomials

Factoring GCF and Trinomials. Greatest Common Factor. The Greatest Common Factor is the largest number that will divide into a group of numbers. Examples: 6, 9 15, 55. GCF = 3. GCF = 5. 3. What is the greatest common factor??. 36. 24. The number 12. GCF with Variables.

lei
Télécharger la présentation

Factoring GCF and Trinomials

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Factoring GCF and Trinomials

  2. Greatest Common Factor The Greatest Common Factor is the largest number that will divide into a group of numbers • Examples: • 6, 9 • 15, 55 GCF = 3 GCF = 5

  3. 3. What is the greatest common factor?? 36 24 The number 12

  4. GCF with Variables Note: With variables, the GCF will Always be the smallest exponent of a Common variable • Examples: • 12x3, 16x2 • 45a5, 50a7 GCF = 4x2 GCF = 5a5

  5. 6. What is the greatest common factor?? 5a2 35a The GCF is 5a

  6. What is the greatest common factor?? 7. 3y -8xy y 11x 8. 22x2 – 11x -x2 9. -4x6 - x4 - 2x2

  7. Factoring means to write as a product Always look for a Greatest Common Factor 1st. Factor 4x + 6y What is their greatest common factor? = 2( ) 2x + 3y Lets check. = 4x+6y =2(2x+3y)

  8. Factor 11. 3y – 8xy What is their GCF? = y( ) – 8x 3 12. 2a3 – 6ab2 = 2a( ) a2 – 3b2

  9. Factor 13. 2h2k + 2k What is their GCF? = 2k( ) + 1 h2 14. 6uv + 9v2 = 3v( ) 2u + 3v

  10. What if there is not GCF? 3x + 2 x2 + 3x + 2 Then it is prime Unless it is a trinomial, then I have to use another method.

  11. GCF • Factor: • xy – 5y • What is common? • Answer: y(x - 5) • What if we change the expression slightly? • x(x + 4) – 5(x + 4) • What is common? • Answer: (x + 4)(x – 5 )

  12. GCF • Try these: • 3x2 – 6x – 15x3 • 16x2 – 8x • y(y – 6) + 9(y – 6)

More Related