Factoring Trinomials 1 February 1, 2017.

Slides:



Advertisements
Similar presentations
Factoring a Quadratic Trinomial Step 2: Insert the two numbers that have a product of c and a sum of b. 2 and 5 are the factors of 10 that add up to 7.
Advertisements

Factoring Trinomials of the form x 2 + bx + c Chapter 5.3.
Perfect Square Trinomials. Form for Perfect Square Trinomials: a 2 + 2ab + b 2 OR a 2 – 2ab + b 2.
Factoring Algebraic Expressions Multiplying a Polynomial by a Monomial Multiplying a Binomial by a Binomial Dividing a Polynomial by a Monomial Dividing.
Multiplying Polynomials
Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1: Binomial Squared Perfect.
Polynomials and Factoring Review By: Ms. Williams.
8.3 Multiplying Binomials
Warm Up 1.) What is the simplified form of –x2(2x3 + 5x2 + 6x)?
Инвестиционный паспорт Муниципального образования «Целинский район»
 We use the acronym below to multiply two binomials. F – O – I – L – FIRST OUTSIDE INSIDE LAST.
5.3Product of Two Binomials. Remember! Powers/Exponents: Distributing:
Degree The largest exponent Standard Form Descending order according to exponents.
Multiplication: Special Cases Chapter 4.5. Sum x Difference = Difference of Two Squares (a + b)(a – b) = (a – b)(a + b) =a 2 – b 2.
13.01 Polynomials and Their Degree. A polynomial is the sum or difference of monomials. x + 3 Examples: Remember, a monomial is a number, a variable,
(x – 8) (x + 8) = 0 x – 8 = 0 x + 8 = x = 8 x = (x + 5) (x + 2) = 0 x + 5 = 0 x + 2 = x = - 5 x = - 2.
Multiplying Polynomials
5.4 Multiplying Polynomials
“Grudge Ball” Factoring Review January 5, Warm-Up (Monday) What is a trinomial? What does a trinomial look like in factored form?
Multiplying Polynomials *You must know how to multiply before you can factor!”
More about multiplying polynomials February 17, 2010.
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)
Day Problems Simplify each product. 1. 8m(m + 6) 2. -2x(6x3 – x2 + 5x)
POLYNOMIALS Unit 4. The Laws of Exponents Let m and n be positive integers and a and b be real numbers with a 0 and b 0 when they are the divisors  a.
Unit 8, Lesson 7a. (x+3)(x+2) Multiplying Binomials (FOIL) FOIL = x 2 + 2x + 3x + 6 = x 2 + 5x + 6.
Multiplying Polynomials. Exponents Remember if you are multiplying numbers with the same base, then ADD the exponents together. Examples:
MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.
Divide a polynomial by a binomial
By: Anna Smoak Multiplying Polynomials. 10 inches7 ’’3’’ 6 inches 3 ’’ How many different ways can you find the area of the large rectangle? Warm Up:
Chapter 5.2 Solving Quadratic Equations by Factoring.
Multiplying Binomials using the Grid Method Feb S. Calahan.
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.
Aim: How do we factor polynomials completely? Do Now: Factor the following 1. 2x 3 y 2 – 4x 2 y 3 2. x 2 – 5x – 6 3. x 3 – 5x 2 – 6x.
Factor Trinomials 8-4 page 107, example 1 2x 2 – 15x+ 18 When the last term is positive, what are the signs? Both positive? Both negative? Mixed? (+)(+)
Objective 123 Multiplying binomials by trinomials ©2002 by R. Villar All Rights Reserved.
Multiplying Binomials. -Distributive Property 2x(x + 3) = 2x(x) + 2x(3) = 2x 2 + 6x Prior Knowledge.
Binomial X Binomial The problems will look like this: (x – 4)(x + 9)
8.3 Multiplying Binomials Objective: to multiply two binomials or a binomial by a trinomial.
8.7 Multiplying Polynomials What you’ll learn: 1.To multiply two binomials 2.To multiply two polynomials.
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.
Factoring Trinomials of the Type: ax 2 + bx + c Most trinomials can be factored even when the leading coefficient is something other than 1. Examples of.
Factoring Quadratic Trinomials a = 1 Chapter 10.5.
Table of Contents Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1:
Objective The student will be able to: multiply two polynomials using the distributive property.
照片档案整理 一、照片档案的含义 二、照片档案的归档范围 三、 卷内照片的分类、组卷、排序与编号 四、填写照片档案说明 五、照片档案编目及封面、备考填写 六、数码照片整理方法 七、照片档案的保管与保护.
공무원연금관리공단 광주지부 공무원대부등 공적연금 연계제도 공무원연금관리공단 광주지부. 공적연금 연계제도 국민연금과 직역연금 ( 공무원 / 사학 / 군인 / 별정우체국 ) 간의 연계가 이루어지지 않고 있 어 공적연금의 사각지대가 발생해 노후생활안정 달성 미흡 연계제도 시행전.
Жюль Верн ( ). Я мальчиком мечтал, читая Жюля Верна, Что тени вымысла плоть обретут для нас; Что поплывет судно громадней «Грейт Истерна»; Что.
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.
Grade Eight – Algebra I - Unit 9 Linear Equations and Their Graphs
Section 9.3 – 9.4 Review Algebra I.
Solving Quadratic Equations by Completing the Square
Polynomials and Polynomial Functions
Multiply (x+3)(2x-7) Factor 3. 42x – 7
Multiplying Binomials and Special Cases
= x2 + 10x + 21 = x2 – 121 = 5(2x + 5) = 7x(4x + 5) = (x2 + 4) (x + 2)
Lesson 9.6 Factor
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.
Lesson 9.6 Factor
Ex 1. Factor the Trinomial Always look for a GCF First!!
Warm-Up Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)
Day 2 Multiplying Linear Expressions Monomials by binomials And
Unit 1 Section 3B: MULTIPLYING POLYNOMIALS
Factoring Trinomials Day #1
Warm Up Rewrite 4x – 2x4 + 5x3 – 2 in standard form. Then, name by degree & number of terms. Name 150 by degree & number of terms. Simplify.
(2)(4) + (2)(5) + (3)(4) + (3)(5) =
Factoring Take a trinomial and break it into two binomials.
Multiplying Polynomials
Ex 1. Factor the Trinomial Always look for a GCF First!!
Bell Ringer  .
Presentation transcript:

Factoring Trinomials 1 February 1, 2017

Outline Essential Question Factoring using X method Examples

Essential Question How do I factor trinomials using the X method?

Factoring Using the X method To factor a trinomial means to write it as the product of two binomials. Factor x2 + 6x +8

Factoring Using the X method x2 + 6x +8 What two numbers multiply to give you 8, but add to give you 6? 8 2 4 6

Factoring Using the X method x2 + 6x +8 (x+__)(x+__) (x+2)(x+4) 8 2 4 6

Examples x2 - x -42 What two numbers multiply to give you -42, but add to give you -1? -42 -7 6 -1

Examples x2 - x -42 (x+__)(x+__) (x-7)(x+6) -42 -7 6 -1

Examples x2 - 16x +64 (x+__)(x+__) (x-8)(x-8) 64 -8 -8 -16

Examples x2 - 3x +2 (x+__)(x+__) (x-2)(x-1) 2 -2 -1 -3