1. Polynomials 10.0 Given a set of polynomials, students will write standard form and find leading coefficient

2. Main Idea & Vocabulary (don’t write) A monomial is a number, a variable, or a product of numbers and variables with whole-number exponents. The degree of a monomial is the sum of the exponents of the variables. A polynomial is a monomial or a sum or difference of monomials.

3. Write this down monomial polynomial One term x, y², 4vw, 3x⁴y² More than one term x + y² 4vw - 3x⁴y² 3x⁴y² - y² + 4vw

4. More Vocabulary (don’t write) The degree of a polynomial is the degree of the term with the greatest degree. The standard form of a polynomial is written with the terms in order from greatest degree to least degree. The leading coefficient is the coefficient of the first term of a polynomial written in standard form.

5. Write this down ex. 4x² + 3 + 2x⁴ - 5x³ + x 2x⁴ - 5x³ + 4x² + x + 3 Degree: 4 Leading Coefficient: 2

6. Ex 2 – Standard Form

7. Practice 2

8. Classifying Polynomials Some polynomials have special names based on their degree and the number of terms they have.

9. Ex 3 - Classifying Polynomials

10. Practice 3

11. Ex 5 Identifying Roots of Polynomials

12. Practice 5

13. Review What is a monomial? What is a polynomial? How do you find the degree of a polynomial? What does the root of a polynomial represent?

14. Practice 1

15. Ex 1 Finding the degree of a monomial