1. CCGPS Algebra Day 30 (9-18-13) UNIT QUESTION: In what ways can algebraic methods be used in problems solving? Standard: MCC9-12.N.RN.1-3, N.CN.1-3, A.APR.1 Today’s Question: What methods can we use to multiply polynomials? Standard: MCC9-12.A.APR.1

2. Objective: To classify polynomials by degree and by number of terms Classifying Polynomials Example of a Polynomial Coefficients Degrees Constant

3. Vocabulary Degree: is the exponent for each variable. Degree of the polynomial: is the largest exponent of the polynomial. Leading coefficient: is the coefficient of the first term. Descending order/Standard form is how polynomials are written where the terms are placed in descending order from largest degree to smallest.

4. Classifying Polynomials By Degree DegreeExample Constant06 -3 Linear13x + 4-7x + 2 Quadratic2

5. Classifying polynomials By # of terms # of termsExample Monomial13x Binomial23x + 1 Trinomial3 Note: Any polynomials with four or more terms are just called polynomials

6. Multiplying Polynomials Monomial x Polynomial

7. (5)(x + 6)

8. (x 2 )(x + 6)

9. Multiplying Polynomials Binomial x Binomial

10. Genetics Punnett Squares are diagrams used by scientists to help them to figure out how inherited traits (characteristics) will be distributed. F f f f FfFf FfFf ff We will use something like a Punnett Square today to help us learn how to multiply polynomials!!

11. Multiplying Polynomials Using the distributive property

12. Notes - Multiplying Polynomials F - First O - Outside I – Inside L - Last (z + 5) (z + 3)

13. (x - 2) (x + 4)

14. (x + 9) (x – 3)

15. (x + 3) (x – 3) 9

16. (2x + 5)(x + 6)

17. (3x – 1)(2x – 4)

18. Find the area of the rectangle.

20. Homework Practice Worksheet

21. 12-2-13 Closer 1. (2x 2 )(-4x 3 ) 2.2(x + 4) 3.7(12 + 3x) – 10 2x + 8 -8x 5 21x + 74