Factoring Polynomials.

Slides:

Advertisements

Similar presentations

Factor these on your own looking for a GCF. Try these on your own:

Advertisements

Factoring Polynomials.

Factoring Polynomials.

Factoring Polynomials

EXPONENTS ORDER OF OPERATIONS MULTIPLYING / DIVIDING POWER OF A POWER POWER OF A PRODUCT POWER OF A QUOTIENT NEGATIVE EXPONENTS.

Warm Up Factor: Homework Check 6.4 Factoring.

Rational Expressions PreRequisite Skills: Exponents and Factoring.

Objectives The student will be able to: 7A: Find the prime factorization of a number, the greatest common factor (GCF) for a set of monomials and polynomials.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.

Polynomials and Factoring Review By: Ms. Williams.

Monomials – Product and Quotient Remember your rules for multiplying and dividing variables…- When multiplying like variables, ADD your exponents When.

FACTORING. Factoring a Monomial From a Trinomial.

5.4 Factoring Greatest Common Factor,

Factoring and Finding Roots of Polynomials

Factoring a polynomial means expressing it as a product of other polynomials.

Factoring Review EQ: How do I factor polynomials?.

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

Degree The largest exponent Standard Form Descending order according to exponents.

6-1 Polynomial Functions Classifying polynomials.

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

Dividing Polynomials Unit 6-5. Divide a polynomial by a monomial. Unit Objectives: Objective 1 Divide a polynomial by a polynomial of two or more terms.

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)

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.

2.3 Factor and Solve Polynomial Expressions Pg. 76.

Addition and Subtraction of Polynomials.  A Polynomial is an expression comprised of one or more terms. Terms are separated by + or – (Polynomials are.

AAT-A Date: 11/18/13 SWBAT factor polynomials. Do Now: See overhead HW Requests: WS Practice 5.2/SGI 5.1; pg 242 #15-18, 37, 38 Continue Vocab sheet HW:

Factoring Polynomials

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.

WARM UP SOLVE USING THE QUADRATIC EQUATION, WHAT IS THE EXACT ANSWER. DON’T ROUND.

Sec. 9-2: Multiplying & Factoring. To multiply a MONOMIAL with a polynomial, simply distribute the monomial through to EACH term of the polynomial. i.e.

AIM: How do we factor a monomial from a polynomial?

6.1 Review of the Rules for Exponents

8-2 Factoring by GCF Multiplying and Factoring. 8-2 Factoring by GCF Multiplying and Factoring Lesson 9-2 Simplify –2g 2 (3g 3 + 6g – 5). –2g 2 (3g 3.

Types of factoring put the title 1-6 on the inside of your foldable and #7 on the back separating them into sum and cubes 1.Greatest Common Factor 2.Difference.

A “Difference of Squares” is a binomial ( *2 terms only*) and it factors like this:

Multiplying by a Monomial Be able to multiply two monomials or a monomial and a polynomial.

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

Polynomials Objective: To review operations involving polynomials.

Warm – Up #1 What do you find in common with the following algebraic expression? 2

Factoring a polynomial means expressing it as a product of other polynomials.

Dividing a Polynomial by a Monomial

Objectives The student will be able to:

Warm-up Find the GCF for the following: 36, 63, 27 6x2, 24x

Graphing Rational Functions

5.2 Polynomials Objectives: Add and Subtract Polynomials

Dividing Polynomials.

Factoring trinomials ax² + bx +c a = 1

Factoring Polynomials

Monomial Factors of Polynomials

Factoring GCF and Trinomials.

Multiply and Divide Rational Expressions

Factoring Polynomials.

Algebra 1 Section 10.1.

Warm – Up #1 What do you find in common with the following algebraic expression? 2

Factoring Polynomials

Factoring Polynomials.

Ex 1. Factor the Trinomial Always look for a GCF First!!

Factoring Polynomials.

Dividing Polynomials.

Chapter Seven Polynomials Algebra One.

Factoring Trinomials of the form:

Factoring trinomials of the form: ax2+bx+c

Monomial Division.

Factoring Polynomials.

Factoring Polynomials.

Algebra 1 Section 9.6.

Polynomial Review / Adding, Subtracting, and Multiplying Polynomials

Factoring Quadratic Trinomials ax2+bx+c

Ex 1. Factor the Trinomial Always look for a GCF First!!

Warm-up Find the GCF for the following: 36, 63, 27 6x2, 24x

Presentation transcript:

Factoring Polynomials

Factoring a polynomial means expressing it as a product of other polynomials.

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

Steps: 1. Find the greatest common factor (GCF). 2. Divide the polynomial by the GCF. The quotient is the other factor. 3. Express the polynomial as the product of the quotient and the GCF.

Step 1: Step 2: Divide by GCF

The answer should look like this:

Factor these on your own looking for a GCF.

Factoring Method #2 Factoring a trinomial in the form:

Steps for factoring 1. Check for GCF 2. Multiply a and c Always make sure polynomial is in descending order according to the exponents ax2+bx+c=0 1. Check for GCF 2. Multiply a and c 3. Find factors of the new c that will add or subtract to give you b 4. Write the factors in factored form (x+_)(x+_)

Check your answer by using FOIL

Always check for GCF before you do anything else. Lets do another example: Don’t Forget Method #1. Always check for GCF before you do anything else. Find a GCF Factor trinomial

Homework 1. x2-3x-28=0 2. x2=81 3. x2-4x=21 4. 4x2=-3x