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Completing the Square

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  1. Completing the Square

  2. There is another way to find the minimum or maximum values of quadratic functions.

  3. Example: Find the minimum or maximum value.

  4. Now find the vertex… Find the y-value first Now give the vertex.

  5. Example: Find the minimum or maximum value.

  6. Now find the vertex.

  7. Completing the Square • The process of making a quadratic expression into a perfect square by adding half the coefficient of the x term squared is called completing the square.

  8. Completing the square • Process by which you force a quadratic expression to factor

  9. We use completing the square in order to find vertex form of a quadratic.

  10. Complete the square to find the vertex form. Then find the vertex, los, and max/min.

  11. Complete the square to find the vertex form. Then find the vertex, los, and max/min.

  12. Complete the square to find the vertex form. Then find the vertex, los, and max/min.

  13. Complete the square to find the vertex form. Then find the vertex, los, and max/min.

  14. Complete the square to find the vertex form. Then find the vertex, los, and max/min.

  15. Complete the square to find the vertex form. Then find the vertex, los, and max/min.

  16. Complete the square to find the vertex form. Then find the vertex, los, and max/min.

  17. Complete the square to find the vertex form. Then find the vertex, los, and max/min.

  18. Factoring IB Notation→Factorisation

  19. GCF • Greatest Common Factor • ALWAYS check to see if there is a common factor in each term 1st. • If so, factor it out.

  20. Factor and identify the GCF.

  21. Factor and identify the GCF.

  22. Factor and identify the GCF.

  23. Factor and identify the GCF.

  24. Factor and identify the GCF.

  25. Trinomial Factoring x² coefficient is 1.

  26. Factorise (IB Notation)

  27. Factorise

  28. Factorise

  29. Factorise

  30. Factorise

  31. Trinomial Factoring x² coefficient is NOT1.

  32. Factorise

  33. Factorise

  34. Factorise

  35. Factorise

  36. Factorise

  37. Factorise

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