1. 5.3 – Polynomials and Polynomial Functions Definitions Coefficient: the numerical factor of each term. Constant: the term without a variable. Term: a number or a product of a number and variables raised to a power. Polynomial: a finite sum of terms of the form ax n, where a is a real number and n is a whole number.

2. Definitions Monomial: a polynomial with exactly one term. Binomial: a polynomial with exactly two terms. Trinomial: a polynomial with exactly three terms. 5.3 – Polynomials and Polynomial Functions

3. Definitions The Degree of a Term with one variable is the exponent on the variable. The Degree of a Term with more than one variable is the sum of the exponents on the variables. The Degree of a Polynomial is the greatest degree of the terms of the polynomial variables. 5.3 – Polynomials and Polynomial Functions

4. Practice Problems Identify the degrees of each term and the degree of the polynomial. 5.3 – Polynomials and Polynomial Functions

5. Practice Problems Evaluate each polynomial function 5.3 – Polynomials and Polynomial Functions

6. 5.4 – Polynomials and Polynomial Functions Multiplication Multiplying Monomials by Monomials Examples:

7. Multiplying Monomials by Polynomials Examples: 5.4 – Polynomials and Polynomial Functions Multiplication

8. Multiplying Two Polynomials Examples: 5.4 – Polynomials and Polynomial Functions Multiplication

9. 5.4 – Multiplying Polynomials Special Products Multiplying Two Binomials using FOIL First termsLast termsInner termsOuter terms

10. Multiplying Two Binomials using FOIL First termsLast termsInner termsOuter terms 5.4 – Multiplying Polynomials Special Products

11. Squaring Binomials 5.4 – Multiplying Polynomials Special Products

12. Multiplying the Sum and Difference of Two Binomials 5.4 – Multiplying Polynomials Special Products

13. Dividing by a Monomial 5.4 – Multiplying Polynomials Special Products

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

15. 6.4 – Dividing Polynomials Long Division

16. 6.4 – Dividing Polynomials Long Division

17. 6.4 – Dividing Polynomials Long Division

18. 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:

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

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

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

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

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

24. Factoring Perfect Square Trinomials 5.7 - Factoring Polynomials

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

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

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

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

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

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

31. End Of Presentation

32. Multiplying Two Polynomials Examples: 5.4 – Polynomials and Polynomial Functions Multiplication

33. Multiplying Two Polynomials Examples: 5.4 – Polynomials and Polynomial Functions Multiplication

34. Multiplying Two Polynomials Examples: 5.4 – Polynomials and Polynomial Functions Multiplication