HOMEWORK  Pg. 15 #37-42, 46-49,53, 55 Answers: 37.12b + 6c 38.-7a + 3d 39.40x – 20y 40.38a – 50b 41.28g – 48k 42.-74x + 2z 46. 19 6 47. 27 5 𝑐 − 13 𝑥 + 6 199 𝑦 20 𝑑 48. -36a -30b + 24c 49. -42x – 72y – 30z 53. 81 = 9 ; it is a rational number 55. Neither is correct. See student explanations.

Learning Target: I will recognize the types of polynomials and multiply them together to get a single polynomials. SECTION 4: MULTIPLYING POLYNOMIALS

TYPES OF POLYNOMIALS # of Terms Type Monomial Binomial Trinomial Bigger Polynomial Example

EXPONENT RULES

EX1. MULTIPLY THE FOLLOWING EXPRESSIONS USING THE DISTRIBUTIVE PROPERTY 3𝑥 3 (2𝑥 2 − 5𝑥 + 3)

METHODS OF MULTIPLYING TWO BINOMIALS  The Distributive Property  the “FOIL” Method  The Box Method

EX 2: MULTIPLY THE FOLLOWING BINOMIALS USING THE DISTRIBUTIVE PROPERTY (x + 4)(x – 5)

EX 2: MULTIPLY THE FOLLOWING BINOMIALS USING THE “FOIL” METHOD F________ O_________ I _________ L_________ (x + 4)(x – 5) =

EX 2: MULTIPLY THE FOLLOWING BINOMIALS USING THE BOX METHOD.

(x + 4)(x – 5)

WHICH METHOD DID YOU LIKE THE BEST? USE THAT METHOD TO SIMPLIFY THE FOLLOWING: (5x + 3)(2- 4x) =

EX. 3: MORE THAN BINOMIALS (4x + 1)(2x³ + 3x) – 2(x-3) is equivalent to:

(3a 2 - 4a – 2)(2a -3) is equivalent to:

EX 4: AREA  Write an expression for the area of the rectangle: 𝒙 𝟐 + 𝟒𝒙 − 𝟑 𝒙 + 𝟐

WATCH OUT!!!

ASSIGNMENT  Polynomials Handout