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

Slides:

Advertisements

Similar presentations

Vocabulary Lesson 10.1 Algebra Objective: I will be able to identify a polynomial and determine its degree.

Advertisements

Section P4 Polynomials. How We Describe Polynomials.

4.3 Solve x2 + bx +c = 0 by Factoring

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

Math Notebook. Review  Find the product of (m+2) (m-2)  Find the product of (2y-3)^2.

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.

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.

Factoring and Solving Polynomial Equations (Day 1)

6.3 Adding, Subtracting, & Multiplying Polynomials p. 338.

Warm-Up: Graph the polynomial. f(x) = x 3 – 4x + 1 xy

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

Algebra 1 Notes Lesson 7-4 Elimination Using Multiplication.

Sullivan Algebra and Trigonometry: Section R.4 Polynomials Objectives of this Section Recognize Monomials Recognize Polynomials Add, Subtract, and Multiply.

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)

Algebra 10.3 Special Products of Polynomials. Multiply. We can find a shortcut. (x + y) (x – y) x² - xy + - y2y2 = x² - y 2 Shortcut: Square the first.

Objective - To recognize and factor a perfect square trinomial. Find the area of the square in terms of x. Perfect Square Trinomial.

Multiplying Polynomials. Exponents Remember if you are multiplying numbers with the same base, then ADD the exponents together. Examples:

Adding and subtracting polynomials. Types of polynomials Monomial Binomial Trinomial Polynomial 1 2x 7xy⁵ -12a + b w - m² a² + x⁴ - n³ x + d – 3y + m⁸.

Chapter P Prerequisites: Fundamental Concepts of Algebra 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 P.4 Polynomials.

6.1 Review of the Rules for Exponents

Adding and Subtracting Polynomials

Algebra 1 Notes Lesson 7-3 Elimination Using Addition and Subtraction

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.

Objective - To recognize and use the factoring pattern, Difference of Squares. Multiply. 1) 2) 3) 4) Inner and Outer terms cancel!

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

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

Table of Contents Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1:

Algebra 2 CC 1.2 Add, subtract, multiply polynomials A monomial is the product of constants and variables. A binomial is the sum/difference of two monomials.

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

6 – 3 Adding, Subtracting and Multiplying Polynomials Day 1 Objective: Add, subtract, and multiply polynomials.

6.3 Adding, Subtracting, & Multiplying Polynomials p. 338 What are the two ways that you can add, subtract or multiply polynomials? Name three special.

Do Now: Find the value of c that makes the expression a perfect square

Objective - To factor trinomials in the form,

Grade Eight – Algebra I - Unit 12 Linear Equations and Their Graphs

Notes Over 10.8 Methods of Factoring Binomial Trinomial

Grade Eight – Algebra I - Unit 8 Linear Equations and Their Graphs

In this lesson we will classify, add and subtract polynomials.

8-1 Adding and subtracting Polynomials

Polynomial Equations and Factoring

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Lesson 9.3 Find Special Products of Polynomials

Warm Up Subtract: Add:.

5.2 Polynomials Objectives: Add and Subtract Polynomials

Objective - To factor trinomials in the form .

Objective - To factor trinomials in the form,

Exponents and Polynomials

Multiplying Polynomials

Multiplying Polynomials

Algebraic Expressions

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Adding and Subtracting Polynomials (9.1)

Lesson 9.1 How do you add and subtract polynomials?

Lesson 9.7 Factor Special Products

8-1a Adding and Subtracting Polynomials

Objective - To factor trinomials in the form .

Factor Special Products

Special Products of Binomials

Algebraic Expressions

Precalculus Essentials

Grade Eight – Algebra I - Unit 4

Factoring x2 + bx + c Objective:

Unit 1 Section 3B: MULTIPLYING POLYNOMIALS

Section P4 Polynomials.

Objective - To factor trinomials in the form .

Objective - To factor trinomials in the form,

Objective - To recognize and use the factoring pattern, Difference of Squares. Multiply. 1) 2) 3) 4) Inner and Outer terms cancel!

Presentation transcript:

Grade Eight – Algebra I - Unit 9 Linear Equations and Their Graphs Mathematics Grade Eight – Algebra I - Unit 9 Algebra 1 - Unit 4 Algebra 1 - Unit 5 Algebra 1 - Unit 6 Algebra 1 - Unit 1 Algebra 1 - Unit 7 Algebra 1 - Unit 9 Algebraic Reasoning: Patterns and Functions Algebraic Reasoning: Patterns and Functions Algebraic Reasoning: Patterns and Functions Content Vocabulary: Binomial Degree of a monomial Degree of a polynomial Difference of two squares Factor by grouping Monomial Perfect square trinomial Polynomial Trinomial Linear Equations and Their Graphs Graphs and Functions Polynomials and Factoring Essential Understandings: Algebraic Reasoning: Patterns and Functions- describe polynomials add and subtract polynomials multiply a polynomial by a monomial factor a monomial from a polynomial multiply binomials using the FOIL method multiply trinomials by binomials find the square of a binomial find the difference of two squares factor trinomials, perfect square trinomials, the difference of two squares factor polynomials by using the grouping method