CCGPS Algebra Day 30 ( ) 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

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

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.

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

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

Multiplying Polynomials Monomial x Polynomial

(5)(x + 6)

(x 2 )(x + 6)

Multiplying Polynomials Binomial x Binomial

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!!

Multiplying Polynomials Using the distributive property

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

(x - 2) (x + 4)

(x + 9) (x – 3)

(x + 3) (x – 3) 9

(2x + 5)(x + 6)

(3x – 1)(2x – 4)

Find the area of the rectangle.

Homework Practice Worksheet

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