 Pg. 474 (4, 9, 12). Multiplying Polynomials  SWBAT multiply binomials using the FOIL method.  SWBAT multiply polynomials using the distributive property.

Slides:

Advertisements

Similar presentations

 Pg. 15 #37-42, 46-49,53, 55. Learning Target: I will recognize the types of polynomials and multiply them together to get a single polynomials. Learning.

Advertisements

Objective: To be able to find the product of two binomials. Objective: To be able to find the product of two binomials. 8.7 Multiplying Polynomials Part.

5.4 Special Products. The FOIL Method When multiplying 2 binomials, the distributive property can be easily remembered as the FOIL method. F – product.

1 8-7 Multiplying Polynomials This presentation was created following the Fair Use Guidelines for Educational Multimedia. Certain materials are included.

Recall: By the distributive property, we have x ( x + 2 ) = x² + 2x Now we’re given a polynomial expression and we want to perform the “opposite” of the.

Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x ) -(x – 6) Simplify each expression. 4) (x + 5)

Polynomials P4.

-Fold a sheet of paper in half (hamburger) then in half again (hotdog). -Label the four sections that are created: Monomials, Binomials, Trinomials, Polynomials.

8.3 Multiplying Binomials

Warm Up 1.) What is the simplified form of –x2(2x3 + 5x2 + 6x)?

© William James Calhoun, : Multiplying Polynomials OBJECTIVES: The student will (1) use the FOIL method to multiply two binomials, and (2) multiply.

 Simplify the following…  2(4 + x)  x(x – 3x 2 + 2)  5x – 2 + 6x  2x 2 + 5x – 11x  8x(4x 2 )

Review Operations with Polynomials December 9, 2010.

Multiplying Polynomials

1.Multiply a polynomial by a monomial. 2.Multiply a polynomial by a polynomial.

Homework Section 9.1: 1) pg , 19-27, ) WB pg 47 all Section 9.2: 1) pg all 2) WB pg 48 all 3) Worksheet Section 9.3: 1) pg 441.

Day Problems Simplify each product. 1. 8m(m + 6) 2. -2x(6x3 – x2 + 5x)

Multiplying Binomials Mentally (the FOIL method) Chapter 5.4.

Quiz 1) 2). Multiplying a Trinomial and Binomial We can’t FOIL because it is not 2 binomials. So we will distribute each term in the trinomial to each.

Multiplying Binomial × Binomial An important skill in algebra is to multiply a binomial times a binomial. This type of problem will come up often.

2.2 Warm Up Find the sum or difference. 1. (2x – 3 + 8x²) + (5x + 3 – 8x²) 2. (x³ - 5x² - 4x) – (4x³ - 3x² + 2x – 8) 3. (x – 4) – (5x³ - 2x² + 3x – 11)

EQ – what is a polynomial, and how can I tell if a term is one?

CLASSIFYING POLYNOMIALS. A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______.

1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

Algebra 10.2 Multiplying Polynomials. Consider a rectangular house It is 12 feet wide by 18 feet long OK it’s a small house

Chapter 5.2 Solving Quadratic Equations by Factoring.

Simplify by combining like terms: 1. (5x 3 – 3x) + (8x 3 + 4x) = 2. (4y 3 + 8xy) – (3xy + 9y 3 )= 3. (5x 3 – 2y 3 ) – (5y 3 + 6x 3 )= 13x 3 + x -5y 3 +

Chapter 6 – Polynomials and Polynomial Functions 6.6 –Polynomials of Greater Degree.

Polynomials Terms and Multiplying. Polynomial Term – number, variable or combination of the two, 2, x, 3y Polynomial – made up of 1 or more terms, separated.

Learning Goals: I can add and subtract polynomials I can multiply polynomials Unit 3: Rational Expressions Lesson 2 – Working with Polynomials.

Notes Rev.3 Multiply Polynomials Distributive Property FOIL Boxes Square Binomials Mentally.

Warmup How many “words” can I make with the letters in SUMMIT?

8.3 Multiplying Binomials Objective: to multiply two binomials or a binomial by a trinomial.

Quadratic Relations Polynomials Day 2: Multiplying Binomials.

Section 5.4 Factoring Quadratic Expressions Obj: to find common and binomial factors of quadratic expressions.

1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n) Algebra S9 Day 21.

Relative Minimum Relative Maximum RELATIVE EXTREMA.

8.1 adding and subtracting polynomials Day 1. Monomial “one term” Degree of a monomial: sum of the exponents of its variables. Zero has no degree. a.

Lesson 10.2 Multiplying Polynomials Objective: To multiply polynomials Multiply monomials by other polynomials by using distributive property Examples.

Evaluate the following functions with the given value.

1.4 Polynomials. Polynomials Degree of term = sum of exponents on variables Degree of Poly = largest degree among terms Poly Type (# of terms) Degree.

Multiply two binomials using FOIL method

AIM: How do we multiply and divide polynomials?

Grade 10 Academic (MPM2D) Unit 3: Algebra & Quadratic Models Product of Binomials & Polynomials Mr. Choi © 2017 E. Choi – MPM2D - All Rights Reserved.

Multiply Binomials SWBAT multiply binomials using the distributive property; multiply binomials using the FOIL method.

Objective - To multiply polynomials.

Multiplication of monomial and binomials.

8-3 Multiplying Polynomials again

8-2 Multiplying Polynomials

Aim: How do we multiply polynomials?

Combining Like-Terms with Distributive Property

Multiplying Binomials

Multiplying Polynomials

Chapter 5: Introduction to Polynomials and Polynomial Functions

Polynomial Functions IM3 Ms.Peralta.

Warm Up You have 15 minutes in your groups to completes as many of the zeros/end behavior examples from yesterday. Don’t waste time! 

Unit 1 Section 3B: MULTIPLYING POLYNOMIALS

Warm up: Match: Constant Linear Quadratic Cubic x3 – 2x 7

Simplify (4m+9)(-4m2+m+3) A.) -16m3+21m+27 B.)-16m3-32m2+21m+27

(2)(4) + (2)(5) + (3)(4) + (3)(5) =

The Distributive Property Guided Notes

Let’s Begin!!! .

There is a pattern for factoring trinomials of this form, when c

CLASSIFYING POLYNOMIAL

Do Now: Aim: How do we work with polynomials?

Presentation transcript:

 Pg. 474 (4, 9, 12)

Multiplying Polynomials

 SWBAT multiply binomials using the FOIL method.  SWBAT multiply polynomials using the distributive property.  Students will look for and make use of structure.

WordsTo multiply two binomials, find the sum of the products of F the first terms, O the outside terms, I the inside terms, and L the last terms.

Find each product: a) (2x + 3)(x + 5) b) (x – 2)(3x + 4)

a) (3m + 4)(m + 5) b) (5y – 2)(y + 8)

Find each product: a)(2y – 7)(3y + 5) b) (4a – 5)(2a – 9)

a) (x + 3)(x – 4) b) (4b – 5)(3b + 2) c) (2y – 5)(y – 6) d) (5a + 2)(3a – 4) Notice that when two linear expression are multiplied, the result is a quadratic (expression with a degree of 2). When three linear expressions are multiplied, the result is a cubic (degree of 3).

Guided Practice #3: (pg. 482)

Find each product: a) (6x + 5)(2x 2 – 3x – 5) b) (2y 2 + 3y – 1)(3y 2 – 5y + 2)

a) (3x – 5)(2x 2 + 7x – 8) b) (m 2 + 2m – 3)(4m 2 – 7m + 5)

 3 Things you Learned  2 Things you Understand  1 Thing that still Confuses you. Homework: Chapter 8.3 Skills Practice in WB EXTRA PRACTICE!! Pg. 483; odds