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Factoring Powerpoint

Zach Paul. Factoring Powerpoint. St art. Step 1. Is there a Greatest Common Factor?. Yes. No. Example. Step 1 Continued. Factor out the Greatest Common Factor. Next Step. Example. Last Step. Step 2. How many terms are in the polynomial?. 2. 3. 4 or more. Example. Last Step.

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Factoring Powerpoint

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  1. Zach Paul Factoring Powerpoint Start

  2. Step 1 Is there a Greatest Common Factor? Yes No Example

  3. Step 1 Continued Factor out the Greatest Common Factor. Next Step Example Last Step

  4. Step 2 How many terms are in the polynomial? 2 3 4 or more Example Last Step

  5. Step 3 Is the leading coefficient one? Yes No Example Last Step

  6. Step 3 continued Find factors of third term that add up to the middle term. Next Example Last Step

  7. Step 3 continued • Follow these steps: • Multiply the leading coefficient and the constant • Find factors of that number that add up to the middle coefficient • Rewrite the middle term using these factors • Factor by using Grouping Method Next Example Last Step

  8. Step 3 Is there a difference of two squares? Yes No Example Last Step

  9. Step 3 continued Use the Sum and Difference pattern to finish factoring. Next Example Last Step

  10. Step 3 Use the Grouping Method to finish factoring the polynomial. Next Example Last Step

  11. Congratulations You have factored the polynomial as much as possible. Restart

  12. Greatest Common Factor Examples With a GCF: Without a GCF. Has no common factors other than 1 Has a GCF of Back to Problem

  13. How to Factor Out a Greatest Common Factor Take the GCF and factor (divide each term by that number). Back to Problem

  14. Examples with Different Numbers of Terms 2 Terms 3 Terms 4 Terms Back to Problem

  15. Leading Coefficient Examples Other than 1 Leading Coefficient of 1 Back to Problem

  16. Factoring Example Find factors of last term (15) that add up to middle term (8). (these would be 5 and 3) Back to Problem

  17. Factoring Example • Multiply the leading coefficient and the constant (12 X 1) • Find factors of that number that add up to the middle coefficient (4 and 3) • Rewrite the middle term using these factors • Factor by using Grouping Method Back to Problem

  18. Squares Example Perfect Square Perfect square difference Back to Problem

  19. Sum and Difference Use the SUM and DIFFERENCE of the two squares. Back to Problem

  20. Grouping Method Group Terms Factor Each Group Use Distributive Property Back to Problem

  21. Grouping Method Group Terms Factor Each Group Use Distributive Property Back to Example

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