1. Unit 4 Lesson 4: Solving Polynomial Equations State StandardsLesson Goals 3: Add, subtract, multiply and divide (including long division) polynomials. 4: Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes. Factor polynomial expressions Use factoring to solve polynomial equations ESLRs: Becoming Competent Learners and Complex Thinkers

2. Previously in Math Factoring Quadratic Equations ▫Use the Distributive Property (look for a GCF) ▫Check for special case  Perfect Square Trinomial  Difference of Two Squares ▫“Unfoil” aka “The I-thing”

3. Factoring Polynomial Equations Sum Of Two Cubes Difference of Two Cubes

4. Are both terms a cube? Factoring Polynomial Equations Are both terms a cube?

6. Marker Boards Out!

7. On your marker board

10. Solving Polynomial Equations Factor any way you can. Set each factor to zero Solve each “mini” equation.

11. Solving Polynomial Equations Factor Set each factor to 0 Solve each “mini” equation X

12. Solving Polynomial Equations Factor Set each factor to 0 Solve each “mini” equation X

13. Solving Polynomial Equations X X

14. On your marker board Solve: X

15. On your marker board Find the real-number solutions of the equation: X

16. p. 349: 33 – 40, 69, 71, 77, 83, 84 Change form stamp sheet

18. p. 348: 33 – 40, 68, 71 77, 83, 84 Change form stamp sheet

28. X

29. X

30. X X

31. X

32. Chapter 6 Lesson 4b: Solving Polynomial Equations State StandardsLesson Goals 3: Add, subtract, multiply and divide (including long division) polynomials. 4: Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes. Factor polynomial expressions Use factoring to solve polynomial equations ESLRs: Becoming Competent Learners and Complex Thinkers

33. Factoring Polynomial Equations Factor by Grouping

34. Factoring Polynomial Equations Recap ▫Always look for common factors first ▫Check for Special Patterns  Difference of Two Squares  Perfect Square Trinomial  Sum/Difference of Two Cubes ▫“I-Thing” quadratic equations ▫Look for ways to group

35. On your marker board

40. Previously in Math Solving Quadratic Equations ▫Factor ▫Square Root ▫Complete the Square ▫Quadratic Formula

41. Solving Polynomial Equations Use the distributive property with the common factor 2y Use the Difference of Two Squares Pattern Set each factor to 0 Solve each “mini” equation

42. Solving Polynomial Equations Set equal to zero Group and “undistribute” Gather parentheses Factor more? Solve

43. Solving Polynomial Equations Set equal to zero Group and “undistribute” Gather parentheses Factor more? Solve

44. Solving Polynomial Equations Group and “undistribute” Gather parentheses Factor more? Solve

45. Solving Polynomial Equations “unfoil” (this is a perfect square trinomial) Square root Solve

46. p. 349: 42 – 58 e, 70 – 84 e Change from stamp sheet

48. p. 349: 42 – 58 e, 70 – 84 Change from stamp sheet

57. X

63. X