1. CLASSIFYING ALGEBRAIC EXPRESSIONS

2. REVIEW/DRILL:Translate the given Algebraic Expression to English Phrase. 6m – 5 x + y + z 3(ab)

3. REVIEW/DRILL:Translate the given Algebraic Expression to English Phrase. 5m 2n 3x + y

4. REVIEW/DRILL:Translate the given Algebraic Expression to English Phrase. 25 + ab 3 (m + n) _1_x 4

5. Define: “mono”“bi”“tri”“poly”

6. Define the word “mono” CLUE:

7. Define the word “bi” CLUE:

8. Define the word “tri” CLUE:

9. Define the word “poly” CLUE:

10. POLYNOMIAL an algebraic expression that represents a sum of ONE or MORE TERMS containing whole number exponents on the variables

11. Remember the parts of a term?

13. Examples: 3xy 2x + y x2 – 2x + 6 2x3 - x2 + 4x - 10

14. NOT A POLYNOMIAL Variable inside the radical sign √ 3x 4x + √ 7y 5a – 3b + √ c

15. NOT A POLYNOMIAL Negative exponents. 2x + y -2 3x4 y-1 z3 m-3 + 8

16. NOT A POLYNOMIAL Variable in the denominator __2x + y__ z __1__ 2x

17. NOT A POLYNOMIAL.. If there is/are…. Variable/s inside the radical sign Negative exponent/s. Variable/s in the denominator

18. CLASSIFICATION OF POLYNOMIALS: Monomial Binomial Trinomial

19. MONOMIAL a polynomial with ONE TERM

20. Examples: x -2x xyz 5x2 y3 z 4 -4

21. BINOMIAL a polynomial with TWO TERMS

22. Examples: x + y 2x – 3y 4a + b2 a3 – bc2d -3m – n m + _1_ 2

23. TRINOMIAL a polynomial with THREE TERMS

24. Examples: x + y + z 2x – 3y – 4z a3 – 4b + c4

25. Classify the following polynomials: 1) binomial 2) monomial 3) Trinomial 4) monomial 5) NOT a polynomial 1) 2x + 3 2) a2 b4 5x – 3y + 4z -8 3a – 2b -3

26. REVIEW: What is a polynomial? How can we differentiate a polynomial from not a polynomial? What are the two parts of a term? What are the classifications of a polynomial? Differentiate each classification.

27. DEGREE of a polynomial: The DEGREE of a term that has only one variable is the EXPONENT of that variable. Examples:

28. DEGREE of a polynomial: The DEGREEof a polynomial that has only one variable is the HIGHEST EXPONENTappearing in any of the terms. Examples:

29. DEGREE of a polynomial: The DEGREE of a term that has only one variable is the EXPONENT of that variable. Examples:

30. DEGREE of a polynomial: The DEGREE of a polynomial in more than one variable is the highest sum of the exponents Examples:

31. Polynimial is written in desccendingorder, the coefficient of the first term is the leading coefficient.

32. 5x + 3x2 – 7 Polynomial or not a Polynomial: Polynomial Classification: Trinomial Descending order: 3x2 + 5x - 7 Degree: Leading Coefficient: 2 3

33. -5x3 + 12/x2 + 4x + 9 Polynomial or not a Polynomial: Classification: Descending order: Degree: 2 Leading Coefficient:

34. 8x5 y3 – 5x4 y6 + 6x3 y4 Polynomial or not a Polynomial: Classification: Descending order: Degree: Leading Coefficient: