1. ADD AND SUBTRACTPOLYNOMIALSChapter 9 section 1

2. PolynomialsA polynomial is a monomial or a sum of monomials, eachcalled a term of the polynomial.What is a monomial?A monomial is a number, a variable, or the product of anumber and one or more variables with whole numberexponents. 15x x3 + 3 Is a polynomialA polynomial can be named by its terms or its degree.

3. A one term polynomial is called a monomial. A monomial is a number, a variable, or the product of a number and one or more variables with whole number exponents. A two term polynomial is called a binomial. A binomial is the sum or difference of two monomials. A three term polynomial is called a trinomial. A trinomial is the sum or difference of three monomials More than three terms is just called a polynomial.

4. Degree of a PolynomialThe degree of a polynomial is the greatest degree of itsterms. Leading coefficient 2x3 + x2 5x + 12 Degree Constant termWhen a polynomial is written so that the exponents of avariable decrease from left to right.

5. Terms and DegreesIs it a polynomial?Classify by degree and number of terms. 15x x3 + 39 2x2 + x 5 6n4 8n n-2 3 7bc3 + 4b4c

6. Addition and Subtraction Addition Combine like terms (2x3 5x2 + x) + ( 2x2 + x3 1) (3x2 + x 6) + (x2 + 4x + 10) Subtraction Add the opposite Combine like terms (4n2 + 5) (-2n2 + 2n 4) (4x2 3x + 5) (3x2 x 8)

7. MULTIPLY AND DIVIDEPOLYNOMIALSChapter 9 section 2

8. Multiplying a monomial by a polynomial Use the distributive property. 2x3 (x3 + 3x2 2x + 5) x (7x2 + 4) 3x2 (2x3 x2 + 4x 3)

9. Multiplying a binomial by a binomial FOIL First times first Outer times outer Inner times inner Last times last(x 4) (3x + 2)

10. Multiplying a binomial by a binomial (3a + 4) ( a 2) (4n 1) (n + 5)

11. Multiplying a binomial by a trinomialUse the box method (2x2 + 5x 1) (4x 3) 2x2 5x -1 4x -3 Combine like terms

12. Multiplying Polynomials (x2 + 2x + 1) (x + 2) (3y2 y + 5) (2y 3) (2x2 x 2) (3x 1)

13. Homework Pages 557 558 #11-25 odd, Pages 565 566 #23 - 39 odd