1. Lesson 4.1 Understanding Polynomial Expressions **PLEASE TEAR OUT YOUR 4.1, 4.2, & 4.3 PACKETS, 4.1 - PAGES 127-138 4.2 – PAGES 139-150 4.3 – PAGES 151-162

2. Important Vocabulary…  Monomial – an expression consisting of a number, variable, or product of numbers and variables that have whole number exponents. *One Term*  A monomial cannot have more than one term, and it cannot have a variable in it’s denominator. Monomials -4x 5xy Non - Monomials 4 + x 5 - y

3. Standard Form of a Polynomial & Degree of a Polynomial

4. Classifying Polynomials – We classify polynomials based on their degree and the number of terms in the polynomial. Polynomial# of TermsDegreeClassification 2 (binomial) 5 (5 th degree) 5 th Degree Binomial 3 (trinomial)7 (7 th degree) 7 th Degree Trinomial 3 (trinomial) 3 (3 rd degree) 3 rd Degree Trinomial 2 (binomial) 8 (8 th degree) 8 th Degree Binomial

5. Writing a Polynomial in Standard Form Example 1: Write the polynomial in standard form, classify it, and give the leading coefficient. a) Standard Form: Classification: 5 th degree polynomial Leading Coefficient: b) Standard Form: Classification: 3 rd degree polynomial Leading Coefficient: c) Standard Form: Classification: 4 th degree polynomial Leading Coefficient: d) Standard Form: Classification: 3 rd degree polynomial Leading Coefficient:

6. Example 2 – Simplifying Polynomials  To simplify a polynomial, first, distribute if possible, then combine any like terms, and finally put the polynomial in standard form. a) Combine Like Terms Put in Standard Form b) c)

7. Lesson 4.2 & 4.3 Adding & Subtracting Polynomial Expressions **PLEASE TEAR OUT YOUR 4.1 PACKET, PAGES 127-138**

8. Adding Polynomials Example 3: Add the polynomials vertically.  When adding polynomials vertically:  Step 1: Set up an addition problem vertically by aligning all like terms.  Step 2: Add down.  Step 3: Put into standard form.

9. Adding Polynomials  When adding polynomials horizontally:  Step 1: Combine Like Terms  Step 2: Put polynomial in standard form. Example 4: Add the polynomials horizontally.

10. Subtracting Polynomials  When Subtracting Vertically:  Step 1: DISTRIBUTE THE NEGATIVE 1!!  Step 2: Line up the like terms of both polynomials vertically.  Step 3: ADD down.  Step 4: Make sure it is in standard form.

11. Subtracting Polynomials  When subtracting polynomials horizontally:  Step 1: DISTRIBUTE THE -1!!  Step 2: Combine like terms.  Step 3: Make sure it’s in standard form.

12. Assignment #23  Summary Paragraph  Read through your notes again.  Write a paragraph (AT LEAST 5-7 SENTENCES) describing the following concepts:  How to classify a polynomial…include important vocabulary in this description.  How to add polynomials  How to subtract polynomials  Make your own examples! At least one example from each lesson!!