1. Review of Long Division 6.4 – Dividing Polynomials Long Division

2. 6.4 – Dividing Polynomials Long Division

3. 6.4 – Dividing Polynomials Long Division

4. 6.4 – Dividing Polynomials Long Division

5. 5.7 - Factoring Polynomials Factoring Trinomials 20 is the result of the product of 4 and 5. 9 is the result of the sum of 4 and 5. Factors of 20 are:

6. Factoring Trinomials Factors of 24 are:1, 24 2, 12 3, 8 4, 6 5.7 - Factoring Polynomials

7. Factoring Trinomials Factors of 50 are:1, 50 2, 25 5,10 5.7 - Factoring Polynomials

8. Factoring Trinomials Factors of 9 are: 1, 9 3, 3 5.7 - Factoring Polynomials

9. Factoring Trinomials Factors of 12 are: 1, 12 2,6 3, 4 Factors of 2 are: 1, 2 5.7 - Factoring Polynomials

10. Factoring Perfect Square Trinomials Not a perfect square 5.7 - Factoring Polynomials

11. Factoring Perfect Square Trinomials 5.7 - Factoring Polynomials

12. Factoring the Difference of Two Squares Not the difference 5.7 - Factoring Polynomials

13. Factoring the Difference of Two Squares 5.7 - Factoring Polynomials

14. Factoring the Sum or Difference of Two Cubes 5.7 - Factoring Polynomials

15. Factoring the Sum or Difference of Two Cubes 5.7 - Factoring Polynomials

16. Factoring the Sum or Difference of Two Cubes 5.7 - Factoring Polynomials

17. Factoring the Sum or Difference of Two Cubes 5.7 - Factoring Polynomials

18. A quadratic equation is written in the Standard Form, where a, b, and c are real numbers and. 5.8 – Solving Equations by Factoring Zero Factor Property: then or. If a and b are real numbers and if,

19. Zero Factor Property: If a and b are real numbers and if, Examples: then or. 5.8 – Solving Equations by Factoring

20. Solving Equations by Factoring: 1) Write the equation to equal zero. 4) Solve each equation. 2) Factor the equation completely. 3) Set each factor equal to 0. 5) Check the solutions (in original equation). 5.8 – Solving Equations by Factoring

22. If the Zero Factor Property is not used, then the solutions will be incorrect 5.8 – Solving Equations by Factoring

28. A cliff diver is 64 feet above the surface of the water. The formula for calculating the height (h) of the diver after t seconds is: How long does it take for the diver to hit the surface of the water? seconds 5.8 – Solving Equations by Factoring

29. The square of a number minus twice the number is 63. Find the number. x is the number.

30. The length of a rectangular garden is 5 feet more than its width. The area of the garden is 176 square feet. What are the length and the width of the garden? The width is w.The length is w+5. feet 5.8 – Solving Equations by Factoring

31. Find two consecutive odd numbers whose product is 23 more than their sum? Consecutive odd numbers: 5.8 – Solving Equations by Factoring

32. The length of one leg of a right triangle is 7 meters less than the length of the other leg. The length of the hypotenuse is 13 meters. What are the lengths of the legs? meters 5.8 – Solving Equations by Factoring

33. 6.1 – Rational Expressions - A rational expression is a quotient of polynomials. For any value or values of the variable that make the denominator zero, the rational expression is considered to be undefined at those value(s). The denominator can not equal zero. Multiplying and Dividing

34. What are the values of the variable that make the denominator zero and the expression undefined? 6.1 – Rational Expressions – Mult. And Div.

35. Simplifying 6.1 – Rational Expressions – Mult. And Div.

36. Simplifying 6.1 – Rational Expressions – Mult. And Div.

37. Simplifying 6.1 – Rational Expressions – Mult. And Div.

38. 6.1 - Rational Expressions – Mult. And Div. Multiplication:

39. 6.1 - Rational Expressions – Mult. And Div. Multiplication: 1 3 2 1

40. 6.1 - Rational Expressions – Mult. And Div.

41. Multiplication: 6.1 - Rational Expressions – Mult. And Div.

42. Division: 6.1 - Rational Expressions – Mult. And Div.

43. Division: 6.1 - Rational Expressions – Mult. And Div.

44. Division: 6.1 - Rational Expressions – Mult. And Div.

45. Division: 6.1 - Rational Expressions – Mult. And Div.