6.1 Polynomial Functions. Monomials A monomial is a number, a variable or the product of both.

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.

Naming Polynomials Add and Subtract Polynomials

10.1 Adding and Subtracting Polynomials

Day 1 – Polynomials Multiplying Mrs. Parziale

6.3 – Evaluating Polynomials. degree (of a monomial) 5x 2 y 3 degree =

Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x ) -(x – 6) Simplify each expression. 4) (x + 5)

Polynomials A monomial is a number, a variable, or the product of a number and one or more variables with whole number exponents. The degree of a monomial.

Classifying, Adding, Subtracting, Multiplying Polynomials.

Polynomial Functions and Adding and Subtracting Polynomials

World 1-2 Adding and Subtracting Polynomials. Recall; A monomial is a single algebraic term A binomial contains two unlike terms A trinomial has 3 unlike.

Adding & Subtracting Polynomials

How do you perform operations with polynomials? Section P4 (old text)

© Copyright by Houghton Mifflin Company. All rights reserved.1 Monomials & Polynomials  Define monomials and polynomials.  Determine the degree of a.

FHSPolynomials1 Vocabulary A monomial is a number, a variable, or a product of numbers and variables with whole number exponents. If the monomial includes.

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,

Polynomials 10.0 Given a set of polynomials, students will write standard form and find leading coefficient.

Adding and Subtraction Polynomials. A monomial is an expression that is a number, a variable, or a product of a number and one or more variables. Each.

8-1 Adding and Subtracting Polynomials. Degree of a monomial: is the sum of the exponents of its variables. The degree of a nonzero constant is 0. Zero.

Topic: Introduction to Polynomials

6-1:POLYNOMIAL Hmwk: WKBK pg. 40. Definitions  Monomial: a number or a product of numbers and variables with WHOLE number exponents  Polynomial: is.

5-5 Polynomials. Vocab Polynomial- monomial or sum of monomials Monomial- numeral, variable or product of numerals and variables (one term) ex: 4x 3 y.

Adding and subtracting polynomials

Polynomial Functions Addition, Subtraction, and Multiplication.

Honors Advanced Algebra Lesson 2-1. Warm-up Simplify the following by combining like terms. 1. 2xyz + 4x + 5y + 2x – 3z – 2y – xyz 2. 3x 2 + 4x 3 – 2x.

Polynomials Def: A Monomial is a product of a number and a variable raised to a whole power. k = 0,1,2,3….. ( Degree) a = coefficient.

5.2 – Evaluate and Graph Polynomial Functions Recall that a monomial is a number, variable, or a product of numbers and variables. A polynomial is a monomial.

Expressions with only multiplication, division and exponents are called monomials Write 3 monomials.

Understanding Polynomials

Warmup How many “words” can I make with the letters in SUMMIT?

Unit 2: Expressions and Polynomials

8.1 ADDING AND SUBTRACTING POLYNOMIALS To classify, add, and subtract polynomials.

8-1 ADDING AND SUBTRACTING POLYNOMIALS Objective: to classify, add, and subtract polynomials.

Algebra II Honors POD Multiply the following: Homework: p odds.

Add and Subtract Polynomials Lesson 9.1 OBJ: to add and subtract polynomials.

8.1 adding and subtracting polynomials Day 1. Monomial “one term” Degree of a monomial: sum of the exponents of its variables. Zero has no degree. a.

An expression which is the sum of terms of the form a x k where k is a nonnegative integer is a polynomial. Polynomials are usually written in standard.

Degrees of a Monomial. Degree of a monomial: Degree is the exponent that corresponds to the variable. Examples: 32d -2x 4 16x 3 y 2 4a 4 b 2 c 44 has.

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.

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

Lesson 2 Notes - Adding and Subtracting Polynomials

Lesson 10.1: Adding/subtracting Polynomials

5.2 Polynomials Objectives: Add and Subtract Polynomials

Polynomial Functions and Adding and Subtracting Polynomials

Algebra 1 Section 10.1 Add and subtract polynomials

Aim: How do we multiply polynomials?

Warm-Up Use the graph at the right to answer the following.

5.2 A Polynomials Ms. Ahearn.

Section 6.2: Polynomials: Classification, Addition, and Subtraction

Chapter 8: Polynomials and Factoring

Lesson 7-4 Polynomials p. 424.

Chapter 4 Factoring Students will develop a method to change a quadratic expression written as a sum into its product form, also called its factored form.

Adding and Subtracting Polynomials

Naming Polynomials Add and Subtract Polynomials Multiply Polynomials

A number, a variable or the product of them

Adding and subtracting

Homework Review.

descending order of exponents

Understanding polynomials

Section P4 Polynomials.

Operations with Polynomials

10.1 add/subtract polynomials

Polynomial Vocabulary

8-1: Adding & Subtracting Polynomials

Let’s Begin!!! .

7.3 Polynomials A monomial or a sum of monomials

Section 5.3 Polynomials and Polynomial Functions

Do Now: Aim: How do we work with polynomials?

Presentation transcript:

6.1 Polynomial Functions

Monomials A monomial is a number, a variable or the product of both.

Examples of monomials

The degree of a monomial The degree of a monomial is the exponents added together

Find the degree

Polynomial Functions A polynomial function is any function in the form of: It is defined as a monomial or a sum of monomials

Things to know The degree of a polynomial is the largest exponent Standard form of a polynomial is written from highest exponent to lowest The leading coefficient is the coefficient on the term with the highest degree

Picking apart a polynomial Leading coefficient Degree

Write the polynomial in standard form. Then find the degree and leading coefficient

Degree Name using degree Polynomial ExampleNumber of terms Name using number of terms

Degree Name using degree Polynomial ExampleNumber of terms Name using number of terms Fill in the blanks

Homework 12/6: #42 pg , odd