Quiz Questions a) Expand and Simplify (3x+5)(2x-4) b) Simplify (3x 2 - 5x) – (6x 2 - 2x + 4) c) Simplify (4x 2 y 3 ) 2 (3 2 y 2 ) 2.

Slides:

Advertisements

Similar presentations

Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.

Advertisements

8.1 Monomials and Factoring Objective Students will be able to: 1. find the prime factorization of a monomial. 2. find the greatest common factor (GCF)

Divide Polynomial by Monomial 3x 2 + 6x 3x = 3x 2 3x + 6x 3x = 3xx 3x + 32x32x = x x 2 y - 6xy + 12y 6xy = 6  3xxy 6xy  2y 6xy = 3x 1 x.

Greatest Common Factor

EXAMPLE 4 Finding the GCF of Monomials

GREATEST COMMON FACTOR

 Millhouse squared the numbers 2 and 3, and then added 1 to get a sum of 14. ◦ = 14  Lisa squared the numbers 5 and 6, and then added 1.

Objectives The student will be able to:

Multiplying and Factoring Module VII, Lesson 2 Online Algebra

FACTORING. Factoring a Monomial From a Trinomial.

Fractions VI Simplifying Fractions

FACTORS A Monomial can be written as a product of its factors. A Monomial can be written as a product of its factors. Example: Example: a 2a = 2 * a a.

Factoring Polynomials Chapter 8.1 Objective 1. Recall: Prime Factorization Finding the Greatest Common Factor of numbers. The GCF is the largest number.

GCF What does it stand for? What is it?. What do these have in common??

CA STANDARDS 11.0: Students find a common factor to all of the terms in a polynomial. Agenda 1.)Lesson On Factoring Polynomials 2.)Assignment Learning.

Factoring polynomials with a common monomial factor (using GCF). **Always look for a GCF before using any other factoring method. Factoring Method #1.

Goals: Use the distributive property to factor a polynomial. Solve polynomial equations by factoring. Eligible Content: A

Greatest Common Factor Lesson 3-3. Greatest Common Factor (GCF) The greatest common factor is the largest factor that two numbers share. Let’s find the.

4.5 Multiplying Polynomials by Monomials Objective: To multiply a polynomial by a monomial. Warm – up: Simplify: 1) x 3 ∙x 6 2) 2(a – 4) 3) 4(2y + 3) 4)

Factors Divisibility Lesson 6Power Up BPage 40. Factors ›A whole number that divides evenly into another whole number. ›List the factors of 27. ›1, 3,

Dividing Polynomials The objective is to be able to divide a polynomial by a monomial.

SOLUTION Divide a polynomial by a monomial EXAMPLE 1 Divide 4x 3 + 8x x by 2x. Method 1 : Write the division as a fraction. Write as fraction. Divide.

Using the Distributive Property For all numbers a, b, and c, a( b + c) = ab + acand ( b + c )a = ba + ca a (b - c) = ab - acand ( b - c )a = b(a) - c(a)

Factoring and Dividing Polynomials

WARM UP Multiply each Polynomial. 1. (x + 3)(x + 2) 2. (x + 7)(x – 7) 3.5(x + 3) 4. (x + 7)(x – 4) We are simplifying by using the _______________ property.

Factors When two numbers are multiplied, each number is called a factor of the product. List the factors of 18: 18:1, 2, 3, 6, 9, 18 * Calculators: Y =

5.2 Dividing Monomials Objective: To simplify quotients of monomials and to find the GCF of several monomials. Warm – up: 1) Write the prime factorization.

Lesson #6 Factor by Grouping & Difference of Squares Factoring Polynomials.

Holt Algebra Dividing Polynomials Warm Up Divide. 1. m 2 n ÷ mn x 3 y 2 ÷ 6xy 3. (3a + 6a 2 ) ÷ 3a 2 b Factor each expression. 4. 5x x.

Warm Up 1) 2(w + 1) 2) 3x(x 2 – 4) 2w + 23x 3 – 12x 2h Simplify. 13p Find the GCF of each pair of monomials. 3) 4h 2 and 6h 4) 13p and 26p 5.

Open your workbook to pg. 42 Rational Exponents Complete pg. 42 #1-6.

Objective  SWBAT solve polynomial equations. Section 9.4 “Solve Polynomial Equations in Factored Form” If ab = 0, then a = 0 or b = 0. The zero-product.

Topic: Factoring MI: Finding GCF (Greatest Common Factor)

8.2A Factoring using Distributive Property

Warm-up Given the functions, perform the following operations:

8-5 Factoring Using the distributive property

9.7 MULTIPLYING POLYNOMIALS

Lesson 87 Warm Up Pg. 570.

Introduction to Factoring

Section 6.4: Factoring Polynomials

Lesson 6.1 Factoring by Greatest Common Factor

5.1: An Introduction to factoring

Monomials (Ex: 2x): It divides into everything…

5.4 part 1 Dividing Polynomials

Lesson 10.4B : Factoring out GCMF

In this lesson we will factor polynomials

Warm Up 1. 50, , 7 3. List the factors of 28. no yes

Common Monomial Factors

8.6 Multiplying a Polynomial by a Monomial

Objectives The student will be able to:

Warm Up Find the GFC of this set of monomials. 15x2y5 and 24x7y3

Multiplying a Polynomial by a Monomial

Factoring out a GCF and Factoring by Grouping

Algebra 1 Section 10.1.

Day 7 Objective: I can factor expressions..

Greatest Common Factor

Factoring Polynomials: GCF

Factoring Polynomials.

The Greatest Common Factor and Factoring by Grouping

Factoring Polynomials

Bellwork: 1/23/ (w + 1) 2. 3x(x2 – 4) 3. 4h2 and 6h

Objective Factor polynomials by using the greatest common factor.

Objectives The student will be able to:

Factoring – Greatest Common Factor (GCF)

9-2 Multiplying and Factoring Monomials

Factoring Polynomials

ALGEBRA I - SECTION 8-2 (Multiplying and Factoring)

Do Now 2/7/19 Take out your HW from last night.

Presentation transcript:

Quiz Questions a) Expand and Simplify (3x+5)(2x-4) b) Simplify (3x 2 - 5x) – (6x 2 - 2x + 4) c) Simplify (4x 2 y 3 ) 2 (3 2 y 2 ) 2

Lesson #9- Factoring and Dividing Polynomials

A Factor The factors of 6 are… The factors of 24 are…

Why are there 60 seconds in a minute, why not 100? Factors of 60: Factors of 100: The Babylonians realized 60 is more convenient for their number system! (More factors) 60 has 12 factors. 100 has 9 factors.

TermsGCF Bronze Silver Gold Platinum Polynomials 6x 2 24x 3 12x 4 The Greatest Common Factor (GCF) is the largest factor that divides evenly into each term. 28x 2 y 2 14x 3 y 2 21x 2 y 3 15a 6 b 7 3a 3 b 5 21a 6 b 4 6x 2 7x 2 y 2 3a 3 b can be factored as well. eg. 1 Complete the Table

eg. 2 Factor by pulling out the GCF 4x+6 9x-15 6x 2 +10x x(x+3) +2(x+3) 2a 2 b 2 -6ab 3 +4ab 2 49x 3 y x 2 y x 3 y 3 2(2x+3) 3(3x-5) 2x(3x+5) 7x 2 y 2 (7x-3+2xy) 2ab 2 (a-3b + 2) (x+3)(x+2)

eg. 3 Division of a Polynomial- Divide each monomial individually 9x 3 + 6x x 3x 18a ab 3a 3x 2 + 2x+ 4 6a+ 4b 20xy xy x 2 y 4 5xy 18x 2 + 8x x 2 + 8x y 4 + 3y+ 6xy 3

Homework pg. 65 #36-38 pg. 67 #44-47