8.7 Multiplying Polynomials What you’ll learn: 1.To multiply two binomials 2.To multiply two polynomials.

Slides:

Advertisements

Similar presentations

5.2 Multiplying Polynomials. To Multiply Polynomials Each term of one polynomial must be multiply each term of the other polynomial.

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.

Objective - To multiply polynomials. Multiply the polynomial by the monomial. 1) 3(x + 4) 2) 3) Distributive Property.

Multiplying Binomials. Multiplying Special Cases

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

I can show multiplying polynomials with the FOIL. OBJECTIVE.

How do you perform operations with polynomials? Section P4 (old text)

Multiplying Polynomials

Do Now: 1. 2x 3  x 3 = ________ 2. 2x 3  3x 2 = ________ 3. 2x 3  (-2x) = ________ 4. 2x 3  5 = ________.

Objective: The student will be able to: multiply two polynomials using the FOIL method, Box method, and the distributive property.

Review Operations with Polynomials December 9, 2010.

5.4 Multiplying Polynomials

Multiplying Polynomials *You must know how to multiply before you can factor!”

Aim: How do we multiply polynomials? Do Now: Multiply the following 1. 2x(3x + 1) 2. (x – 1)(x + 2) 3. (x +2)(x 2 – 3x + 1)

Lesson 7-7 Multiplying Polynomials

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

M ULTIPLYING P OLYNOMIALS : FOIL Lesson M ULTIPLYING P OLYNOMIALS When multiplying two BINOMIALS… …we multiply by “FOIL” First terms Outer terms.

Objective - To multiply polynomials. Multiply the polynomial by the monomial. 1) 3(x + 4) 2) 3) Distributive Property.

Unit 8, Lesson 7a. (x+3)(x+2) Multiplying Binomials (FOIL) FOIL = x 2 + 2x + 3x + 6 = x 2 + 5x + 6.

MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.

Multiply two binomials using FOIL method

The third method is the Box Method. This method works for every problem! Here’s how you do it. Multiply (3x – 5)(5x + 2) Draw a box. Write a polynomial.

Chapter 5.2 Solving Quadratic Equations by Factoring.

What is the area of the shaded region?

1/5/2016 Opener 1. (2m 3 – 4m 2 – 11) – (7m 3 – 3m 2 + 2m) 2. (4x + 2) (6x – 8) -5m 3 – m 2 – 2m – 11 24x 2 – 20x – 16.

EXAMPLE 3 Multiply polynomials vertically

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

Multiplying Polynomials with FOIL Objective: Students will multiply two binomials using the FOIL method. S. Calahan March 2008.

GSE Algebra I EQ: How do you multiply polynomials? Standard: M.ALGI.4.14: Polynomials: Multiply.

+ FOIL – Multiplying Polynomials. + Warm – Up!! Good Morning! Please pick up your calculator as you walk in! Use the BOX method to multiply the following.

Factoring Trinomials Chapter 10.4 Part 2. Review: Factoring Quadratic Trinomials Find the factors of the last term. Which of those factors combine to.

EXAMPLE 3 Multiply polynomials vertically Find the product (b 2 + 6b – 7)(3b – 4). SOLUTION STEP 1 Multiply by – 4. b 2 + 6b – 7 – 4b 2 – 24b b –

Objective 119 Multiplying 2 binomials, (x + a)(x + b) ©2002 by R. Villar All Rights Reserved.

Mrs. Reynolds 2/19/14. When multiplying two binomials, you can use the FOIL Method. FOIL is a series of four steps using the Distributive Property.

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

8.7 Multiplying Polynomials. Multiplying a Binomial by a Binomial A binomial is a polynomial with two terms. To multiply a binomial by a binomial, you.

DO NOW Multiply the following monomials:

Notes Over 10.2 Multiply binomials by using F O I L.

Multiply two binomials using FOIL method

Section 9.3 – 9.4 Review Algebra I.

Multiplying Binomials

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

I can show multiplying polynomials with the FOIL.

Objective - To multiply polynomials.

8-3 Multiplying Polynomials again

Chapter 8: Polynomials and Factoring

5.2 Polynomials Objectives: Add and Subtract Polynomials

Factoring Trinomials 1 February 1, 2017.

Multiplying Binomials and Special Cases

Multiplying Polynomials

5-9 Multiplying Monomials and Binomials

Notes Over 10.2 Multiply binomials by using F O I L.

13 Exponents and Polynomials.

= x2 + 10x + 21 = x2 – 121 = 5(2x + 5) = 7x(4x + 5) = (x2 + 4) (x + 2)

Multiply polynomials When multiplying powers with the same base, keep the base and add the exponents. x2  x3 = x2+3 = x5 Example 1: Multiplying Monomials.

3.5 Many of the topics in 3.5 will be a review of concepts worked on in gr. 9. Lets see what you remember.

Multiplying Polynomials

How do you multiply polynomials?

Objective The student will be able to:

Objective multiply two polynomials using the FOIL method and the distributive property.

Unit 1 Section 3B: MULTIPLYING POLYNOMIALS

Factoring Trinomials Day #1

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

8-3 Multiplying Polynomials by Using FOIL

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

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

Objective The student will be able to:

Ch Part 1 Multiplying Polynomials

Multiplying Polynomials

Presentation transcript:

8.7 Multiplying Polynomials What you’ll learn: 1.To multiply two binomials 2.To multiply two polynomials

Multiplying Binomials – three methods 1.FOIL Method (x-7)(x+4) First x  x Outer4  x Inner-7  x Last-7  4 x²+4x-7x-28 x²-3x Box Method (x-7)(x+4) x²+4x-7x-28 x²-3x-28 3.Column method -7 x x 4 x²x²-7x -28 4x -284x x²x²-7x x² - 3x - 28

Find each product. 1.(x-5)(x+9) 2.(4x-3)(2x+1)

Multiplying a binomial by a trinomial or two trinomials Use box method or column method. (x²-4x-8)(x²+3x-6)

Homework p even