1. Warm-Up 1.) Collect like terms (Use a chart) 2 9 -5 -4 -2x 7 3 x # 2 2 2.) Distribute 5x5x 20

2. CA STANDARDS 10.0: Students add, subtract, multiply, and divide polynomials. Agenda (1/31/12) 1.) Warm-Up 2.) Lesson – Polynomials (Part 1) 3.) Assignment: Worksheet 5.5 Learning Objectives: Students will be able to identify polynomials and their components.

3.  Definitions: Monomial Monomial: product One Term - A number, a variable, or the product of both. “One Term” Polynomial Polynomial: OneMore Terms - “One or More Terms” One “One” Many “Many” A Monomial is a Polynomial with “One Term”

4. Definitions: Binomial: polynomialTwo Terms - A polynomial with “Two Terms” Trinomial: polynomialThree - A polynomial with “Three Terms” Two “Two” Three “Three” 2 Terms 3 Terms

5. polynomial monomialbinomialtrinomial Tell whether each expression is a polynomial. If so, identify it as a monomial, binomial, or trinomial. Polynomial Monomial Binomial Trinomial No Not a monomial

6. 6  Definitions: Degreeterm Degree of a term - exponent - is the value of the exponent in each term. 8 0 Leading term degree - is the term with the highest degree. Degreepolynomial Degree of a polynomial degreeleading degree - is the degree of the leading term or the highest degree. 8 Degreepolynomial  Find the Degree of each polynomial: 8 5

7. Definitions: Degree term Degree of a term sumexponentsterm - is the sum of the exponents in each term. 1 8+2 = 106+1=7 0 Leadingterm Leading term termdegree - is the term with the highest degree. Degreepolynomial Degree of a polynomial degree - is the biggest degree. 10  Find the Degree of each polynomial: 7 8 1 2 7 0

8.  Definitions: Coefficient variable - the number in front of a variable. coefficientspolynomial The coefficients of the above polynomial are: 5 2 Leading Coefficient leading term - the number attached to the leading term. 5 leading coefficient The leading coefficient of the above polynomial is: 10 6 0

9. degreecoefficientsleading coefficient polynomial Find the degree, coefficients, and leading coefficient of each polynomial. Degree Coefficient(s) LeadingCoefficient Leading Coefficient Not a monomial 2 1 1 1232 2 9 5-6 5 Not a Polynomial 6 2-5 2 8 2-4