2. To simplify a polynomial and determine its degree

3. To write a polynomial in ascending and descending orderFrameworks: 10.P.3

4. Review: What is a monomial? 5 2x ⅔a3

5. What is a polynomial? A polynomial is a monomial or the sum of two or more monomials -5x3 a2 - 2ab x2 + 2x - 1

6. Classifying polynomials Polynomials can be classified according to their number of terms: Monomial: -5x3 Binomial: a2 - 2ab Trinomial: x2 + 2x - 1

7. More terms Like terms are terms with the same variable(s) raised to the same power(s). A polynomial in simplest form if no two of its terms are like terms.

8. Simplify: 3y2- 5y - y2 2y2 – 5y 5x2 – 2x + 2 already in simplest form 10y + 4y2 - 5y2 3x2 + 2x2 - 1

9. Degrees of monomials The degree of a monomial is the sum of the exponents of all of its variables:

10. Degrees of polynomials The degree of a polynomial is the same as the degree of its term with the greatest degree when the polynomial is in simplest form:

11. Simplify & give the degree: 3x3– 5x2 + 6x2 - 3x3 - 7 x2 – 5 second degree 4y2– 6y + 7y4 - y2 – y4 5x4+ 7 x – 1 - 3x3 - 5x4 - 3x + 2x3 3x2 + 2x2 - 1

12. Simplify & give the degree & write the terms in descending order: 5x4+ 7x – 1 - 3x3 - 5x4 - 3x + 2x3 Group in descending order: Combine like terms: Degree?

13. Simplify & give the degree & write the terms in descending order: 8x5- 6x2 + 4x4 + 3x2+ 2x5 + x4 + 2x - 7 Group in descending order: Combine like terms: Degree?

14. Turn to page 220 Do 1-10