Multiplying Binomials

Slides:

Advertisements

Similar presentations

Standard 10 add, subtract, multiply, and divide monomials and polynomials monomials are just one thing binomials are like bx + c polynomials are like ax².

Advertisements

 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.

Multiplying Polynomials Monday, September 15, 2014.

Drill #17 Simplify each expression.. Drill #18 Simplify each expression.

Properties of Polynomials. Polynomials are sums of "variables and exponents" expressions. Each piece of the polynomial that is being added, is called.

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

EXAMPLE 1 Multiply a monomial and a polynomial Find the product 2x 3 (x 3 + 3x 2 – 2x + 5). 2x 3 (x 3 + 3x 2 – 2x + 5) Write product. = 2x 3 (x 3 ) + 2x.

Adding and Subtracting Polynomials. 1. Determine the coefficient and degree of each monomial (Similar to p.329 #26)

 We use the acronym below to multiply two binomials. F – O – I – L – FIRST OUTSIDE INSIDE LAST.

Multiplying Polynomials; Special Products Multiply a polynomial by a monomial. 2.Multiply binomials. 3. Multiply polynomials. 4.Determine the product.

Section 9-1 Adding and Subtracting Polynomials SPI 12C: add and subtract algebraic expressions Objectives: Classify a polynomial by degree and number of.

Multiplying Polynomials

Warm up. FOIL Definition: Polynomial Special Names.

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)

POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.

What is Combining Like Terms?  Lets break it down  Combining-To put together  Like- Similar  Terms- Numbers or letters that are separated by an operational.

Warm Up Week 1 1) 2( x + 4 ) 2x 2 = 50 2x + 8 x = ±5 2)

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)

Warm Up Introduction to Polynomials and Adding and Subtracting Polynomials.

Warm Up Multiply: 1. 4x 2 (7x 3 - 6x x - 10) 2. (3x 2 - 5)(x + 4) Factor: 3. x 3 – 64x4. 9x 2 – 9x – 4 EQ: How do I perform algebraic operations.

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.

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

Multiplying Polynomials

Factoring Example 1: What is the Greatest Common Factor (GCF) of the two terms below? Example 2: Example 3:

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

Polynomials Objective: To review operations involving polynomials.

EXAMPLE 3 Factor by grouping Factor the polynomial x 3 – 3x 2 – 16x + 48 completely. x 3 – 3x 2 – 16x + 48 Factor by grouping. = (x 2 – 16)(x – 3) Distributive.

Multiplying Polynomials Thursday, September 12, 2013.

EXPRESSIONS, FORMULAS, AND PROPERTIES 1-1 and 1-2.

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.

Adding and Subtracting Polynomials. 1. Determine whether the given expression is a monomial (Yes or No). For those that are monomials, state the coefficient.

Name ____________________________________________ Date _______________ Per_____ Polynomials Review Adding Ex: 1. Simplify 2. Find the perimeter Subtracting.

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

An expression which is the sum of terms of the form a x k where k is a nonnegative integer is a polynomial. Polynomials are usually written in standard.

Polynomials Monomial---1 term A number, variable or the product of a number and a variable Terms Monomials separated by addition or subtraction signs A.

Terms Monomials separated by addition or subtraction signs Polynomials A monomial or the sum of monomials Binomial---2 terms Trinomial---3 terms Monomial---1.

 Adding and Subtracting Polynomials. What is a monomial? Give an example. 1.

Grade Eight – Algebra I - Unit 9 Linear Equations and Their Graphs

POLYNOMIALS – Monomial Times a Polynomial

Objective - To multiply polynomials.

Multiplication of monomial and binomials.

8-3 Multiplying Polynomials again

8-2 Multiplying Polynomials

5.2 Polynomials Objectives: Add and Subtract Polynomials

Add, Subtract and Multiply Polynomials

Completing the Square

13 Exponents and Polynomials.

Solving Systems of Equations By Elimination

Factoring With Stick Man, Day Two

Factoring Trinomials of the Form x2 + bx + c

How Do I Multiply Two Binomials?

Warm-Up Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)

Multiplying monomial with polynomial

Adding and Subtracting Polynomials

Unit 1 Section 3B: MULTIPLYING POLYNOMIALS

ALGEBRA I - SECTION 8-1 (Adding and Subtracting Polynomials)

Factoring Quadratics.

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

Quadratic Formula.

Section 4.2 Adding, Subtracting and Multiplying Polynomials

Factoring with GCF and DOS

Multiplying Binomials

Adding and Subtracting Polynomials

Polynomial Review / Adding, Subtracting, and Multiplying Polynomials

Multiplying Polynomials

Section 5.3 Polynomials and Polynomial Functions

Factoring Quadratics.

Presentation transcript:

Multiplying Binomials

Table of Contents 46: Warm-Up, Guided Practice, Reflection 47: How Do I Multiply Binomials?

Warm-Up Multiply the following without a calculator: 1. 23  56 2. 53  17

Learning Intention/Success Criteria LI: We are learning to multiply binomials SC: I know how to -add, subtract, and multiply positive and negative integers -multiply binomials in three different ways: FOIL Method, Multiplying Vertically, and/or Box Method

EQ: How Do I Multiply Two Binomials? 11/29/2018

Term Part of an expression, which can be separated by an addition or subtraction sign Monomial Polynomial with one term Binomial Polynomial with two terms, which are not like terms Trinomial Polynomial with three terms, which are not like terms

Three Methods to Multiply Binomials A method for distributing two binomials 1. Foil Method F O I L First Terms Outside Terms Inside Terms Last Terms Using an algorithm to multiply 2. Multiplying Vertically Similar to lattice method 3. Box Method

Example 1: Multiply using FOIL Method (x + 3)(x + 2) (x + 3)(x + 2) F O I L x  x = x2 x  2 = 2x 3  x = 3x 3  2 = 6 x2 + 2x + 3x + 6 x2 + 5x + 6

Guided Practice 1 Multiply using FOIL: (x + 4)(x – 2) F O I L x  x x2 - 2x + 4x – 8 x2 + 2x – 8 x  -2 = -2x 4  x = 4x 4  -2 = -8

Guided Practice 2 Multiply using FOIL: (x – 7)(x – 6) F O I L x  x x2 - 6x - 7x + 42 x2 - 13x + 42 x  -6 = -6x -7  x = -7x -7  -6 = 42

Example 2: Multiply Vertically (x + 3)(x + 2) x + 3 x + 2 _________ 2x + 6 x2 + 3x ____________ x2 + 5x + 6

Guided Practice 3 Multiply Vertically: (x + 4)(x – 2) x + 4 x – 2 _________ -2x – 8 x2 + 4x ____________ x2 + 2x – 8

Guided Practice 4 Multiply Vertically: (x – 7)(x – 6) x – 7 x – 6 ________ -6x + 42 x2 - 7x ____________ x2 - 13x + 42

Example 3: Multiply using Box Method (x + 3)(x + 2) x + 3 x2 3x x + 2 2x 6 x2 + 2x + 3x + 6 x2 + 5x + 6

Guided Practice 3 Multiply Using Box Method: (x + 4)(x – 2) x + 4 - 2 -2x -8

Guided Practice 4 Multiply Vertically: (x – 7)(x – 6) x - 7 - 6 -6x 42

Exit Note Log into Google Classroom and Post in our discussion. Answer one of the questions and respond to at least one other student