Polynomials The student will be able to: 1. find the degree of a polynomial. 2. arrange the terms of a polynomial in ascending or descending order. Designed.

Slides:



Advertisements
Similar presentations
Polynomials By the end of class, you will be able to:
Advertisements

Vocabulary Lesson 10.1 Algebra Objective: I will be able to identify a polynomial and determine its degree.
7.4 - Polynomials. polynomial polynomial – a monomial or sum of monomials.
Unit 6: Polynomials 6. 1 Objectives The student will be able to:
Section 4.2 Adding & Subtracting Polynomials. Monomial An expression that is either a numeral, a variable, or a product of a numeral and one or more variables.
Polynomials Objective: find the degree of a polynomial. Arrange the terms of a polynomial in ascending or descending order.
Polynomials Defining Polynomials Adding Like Terms.
Warm Up. Intro to Polynomials Definition A polynomial is a sum of terms containing the same variable raised to different powers.
Warm-Up: Copy these notes PolynomialDegreeName using degree Number of terms Name using number of terms 60constant1Monomial 5x+911linear2Binomial 2quadratic3Trinomial.
Objectives The student will be able to: 1. find the degree of a polynomial. 2. arrange the terms of a polynomial in ascending or descending order. SOL:
Objectives The student will be able to: LEARN ABOUT EXPONENTS AND ADD AND SUBTRACT POLYNOMIALS MATH 8A.
1.) Monomial - a number, variable, or product of either with only exponents of 0 or positive integers. y, -x, ab, 1/3x, x2, 8, xy2, (abc2)3 Examples.
Polynomials. Monomials - a number, a variable, or a product of a number and one or more variables. 4x, 20x 2 yw 3, -3, a 2 b 3, and 3yz are all monomials.
POLYNOMIALS INTRODUCTION. What does each prefix mean? mono one bi two tri three.
Polynomials.
8.4 Polynomials Find the degree of a polynomial. Arrange the terms of a polynomial in ascending or descending order.
Adding and subtracting Polynomials Lesson 8-1 TOPIC IX: Quadratic Equations and Functions.
4.1 Introduction to Polynomials. Monomial: 1 term (ax n with n is a non- negative integers, a is a real number) Ex: 3x, -3, or 4xy 2 z Binomial: 2 terms.
Objectives The student will be able to: 1. find the degree and leading coefficient of a polynomial. 2.arrange the terms of a polynomial in ascending or.
Polynomials Algebra I. Remember: Monomials are separated by______ or ______ signs. Monomial = One term – A number, a variable, or a product of numbers.
4.3 Polynomials. Monomial: 1 term (ax n with n is a non- negative integers) Ex: 3x, -3, or 4y 2 Binomial: 2 terms Ex: 3x - 5, or 4y 2 + 3y Trinomial:
Lesson 8-4 Polynomials. Definitions Polynomial- a monomial or a sum of monomials. Binomial- the sum of two monomials. Trinomial- the sum of three monomials.
Polynomials. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with.
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.
Addition and Subtraction of Polynomials.  A Polynomial is an expression comprised of one or more terms. Terms are separated by + or – (Polynomials are.
OBJECTIVES: 1) TO EVALUATE POLYNOMIAL FUNCTIONS. 2) TO SIMPLIFY POLYNOMIALS BY COLLECTING LIKE TERMS. PDN: SIMPLIFY. 1)X²X³= 2)(X³Y²)(XY)= 5-1 Polynomials.
8.4 Polynomials. Polynomials A polynomial is a monomial or a sum of monomials. Binomial: sum of two monomials Trinomial: sum of three monomials.
Adding and Subtracting Polynomials. 1. Determine whether the given expression is a monomial (Yes or No). For those that are monomials, state the coefficient.
WARM UP (4x 4 y 3 ) Objectives The student will be able to: 1. find the degree of a polynomial. 2. arrange the terms of a polynomial in ascending.
Objective: I will add and subtract polynomials by combining like terms.
INTRODUCTION TO POLYNOMIALS. A monomial is a ______________of one or more numbers and variables. Examples:
CFU Add, subtract, and multiply polynomials including squaring a binomial. SPI Operate with polynomials and simplify results.
Polynomials Objectives The student will be able to: 1. find the degree of a polynomial and 2. arrange the terms of a polynomial in ascending or descending.
Today’s Objective (1) ► 1.) To be able to line up the like terms of 2 polynomials. ► 2.) To be able to add and subtract polynomials.
1. C 2. I 3. D TERMS 2x + 8 Has 2 terms 2x + 8 Has 2 terms An expression with ANY NUMBER of terms is called a ___________________ are separated.
Adding and subtracting polynomials 1L interpret expressions that represent a quantity in terms of its context.
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.
Algebra Adding and Subtracting Polynomials.
Objectives 1. find the degree of a polynomial.
Ch 7-4 Polynomials Objectives The student will be able to:
Polynomial Functions and Adding and Subtracting Polynomials
Aim: How do we multiply polynomials?
Lesson 4.1 Understanding Polynomial Expressios
POLYNOMIALS REVIEW Classifying Polynomials
Lesson 7-4 Polynomials p. 424.
Introduction to Polynomials
Objectives Classify polynomials and write polynomials in standard form. Evaluate polynomial expressions.
Unit #2 Polynomials.
Intro to Polynomials.
Objectives The student will be able to:
Objectives The student will be able to:
8-1a Adding and Subtracting Polynomials
A number, a variable or the product of them
Polynomials and Polynomial Functions
Adding and subtracting
Polynomials A polynomial is a sum of monomials. Common polynomials:
Objectives The student will be able to:
1. Find the degree of a polynomial.
descending order of exponents
Polynomials.
Objectives The student will be able to:
Objectives The student will be able to:
Objectives The student will be able to:
4.1 Introduction to Polynomials
Polynomials and Special Products
Objectives The student will be able to:
7.3 Polynomials A monomial or a sum of monomials
Learning Target: I will be able to identify polynomials
Polynomials Pre-Algebra Lesson 13-1.
Presentation transcript:

Polynomials The student will be able to: 1. find the degree of a polynomial. 2. arrange the terms of a polynomial in ascending or descending order. Designed by Skip Tyler, Varina High School

What is a polynomial? A polynomial is a monomial or a sum/difference of monomials. Important Note!! An expression is not a polynomial if there is a variable in the denominator.

Special Polynomials monomial - one – a #, variable or product of a # & variables binomial - two – two monomials added or subtracted trinomial - three – three monomials added or subtracted

State whether each expression is a polynomial. If it is, identify it. 1) 7y - 3x + 4 trinomial 2) 10x 3 yz 2 monomial 3) not a polynomial

The degree of a monomial is the sum of the exponents of the variables. Find the degree of each monomial. 1) 5x 2 2 2)4a 4 b 3 c 8 3)-3 0

To find the degree of a polynomial, find the largest degree of the terms. 1) 8x 2 - 2x + 7 Degrees: Which is biggest? 2 is the degree! 2) y 7 + 6y 4 + 3x 4 m 4 Degrees: is the degree!

Find the degree of x 5 – x 3 y

A polynomial is normally put in ascending or descending order. What is ascending order? Going from small to big exponents. What is descending order? Going from big to small exponents. (Carnegie calls this “Standard Form” because it is what is normally used.) If there is more than one variable, you will be told which variable to put in order!

Put in descending order: 1)8x - 3x 2 + x x 4 - 3x 2 + 8x - 4 2) Put in descending order in terms of x: 12x 2 y 3 - 6x 3 y 2 + 3y - 2x -6x 3 y x 2 y 3 - 2x + 3y

3) Put in ascending order in terms of y: 12x 2 y 3 - 6x 3 y 2 + 3y - 2x -2x + 3y - 6x 3 y x 2 y 3 4)Put in ascending order: 5a a - a a - a 2 + 5a 3

Write in ascending order in terms of y: x 4 – x 3 y 2 + 4xy – 2x 2 y 3 1.x 4 + 4xy – x 3 y 2 – 2x 2 y 3 2.– 2x 2 y 3 – x 3 y 2 + 4xy + x 4 3.x 4 – x 3 y 2 – 2x 2 y 3 + 4xy 4.4xy – 2x 2 y 3 – x 3 y 2 + x 4