1. INTRODUCTION TO POLYNOMIALS

2. A monomial is a 1. 2. 3.______________of one or more numbers and variables. Examples:

3. Why are the following NOT monomials? x + y 2 - 3a

4. What does each prefix mean? mono bi tri

5. What about poly? A ____________________ is a monomial, or a sum/difference of monomials. Each monomial is a __________. Important Note: An expression is not a polynomial if there is a variable in the denominator.

6. Special names are given to polynomials with two or three terms. A _____________ is a polynomial with two terms. A _____________ is a polynomial with three terms.

7. State whether each expression is a polynomial. If it is, identify it by the number of terms. 1) 7y - 3x + 4 2) 10x 3 yz 2 + 5x 3)

8. Which polynomial is represented by X2X2 1 1 X X X 1.x 2 + x + 1 2.x 2 + x + 2 3.x 2 + 2x + 2 4.x 2 + 3x + 2 5.No clue!

9. The degree of a monomial is the sum of the exponents of the variables. Ex.: Find the degree of each monomial. 1) 5x 2 2)4a 4 b 3 c 3)-3

10. The degree of a polynomial is the largest degree of the terms. Ex.: Find the degree of a polynomial. 1) 8x 2 - 2x + 7 Degrees: Which is largest? 2) y 7 + 6y 4 + 3x 4 m 4 Degrees:

11. Find the degree of x 5 – x 3 y 2 + 4 1.0 2.2 3.3 4.5 5.10

12. A polynomial is normally put in descending order. What is descending order?.

13. 1)Put in descending order: 8x - 3x 2 + x 4 - 4 2) Put in descending order in terms of x: 12x 2 y 3 - 6x 3 y 2 + 3y - 2x

14. 3) Put in descending order in terms of y: 12x 2 y 3 - 6x 3 y 2 + 3y - 2x 4)Put in descending order: 5a 3 - 3 + 2a - a 2

15. Write in ascending order in terms of y: x 4 – x 3 y 2 + 4xy – 2x 2 y 3 1.x 4 + 4xy – x 3 y 2 – 2x 2 y 3 2.– 2x 2 y 3 – x 3 y 2 + 4xy + x 4 3.x 4 – x 3 y 2 – 2x 2 y 3 + 4xy 4.4xy – 2x 2 y 3 – x 3 y 2 + x 4

16. Classifying Polynomials By Degree DegreeNameExample

17. Non-Examples of Polynomials Fractions, Division Square Roots Variables as the exponent Negatives as the exponent Remember... these are NOT polynomials!

18. MonomialsBinomialsTrinomials