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.

Slides:

Advertisements

Similar presentations

Section P4 Polynomials. How We Describe Polynomials.

Advertisements

5.5 Polynomials Goals: 1. To identify a polynomial and its types 2.To identify terms, coefficients 3.To identify the degree of the poly.

Polynomials and Polynomial Functions Section 5.3.

Polynomials – Things to remember By: Noelle Carden.

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.

Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x ) 10xy + 5y – 6xy – 14y 5x – 14 15x + 3 4xy – 9y Warm up.

Adding & Subtracting Polynomials

Adding and Subtracting Polynomials. 1. Determine the coefficient and degree of each monomial (Similar to p.329 #26)

Polynomials and Polynomial Functions

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

 Simplify the following…  2(4 + x)  x(x – 3x 2 + 2)  5x – 2 + 6x  2x 2 + 5x – 11x  8x(4x 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,

EQ – what is a polynomial, and how can I tell if a term is one?

CLASSIFYING POLYNOMIALS. A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______.

Algebra 1 Supplemental Unit To the tune of “The More We Get Together”

Adding and Subtracting Polynomials ALGEBRA 1 LESSON 9-1 (For help, go to Lesson 1-7.) Simplify each expression. 1.6t + 13t2.5g + 34g 3.7k – 15k4.2b – 6.

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.

Adding and subtracting polynomials

POLYNOMIAL Function: A polynomial is the monomial or the sum of monomials with all exponents as whole numbers and coefficients are all real numbers. Ex-

Polynomial definitions Al gebraic expression -numbers and/or variables with operations 2a + 4 3r6y  7 term: numbers or variables separated by a + sign.

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

Understanding Polynomials

Adding and Subtracting Polynomials

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

Polynomials Polynomials  Examples : Monomials: 4f 3x 3 4g 2 2 Binomials: 4t – 7g 5x 2 + 7x 6x 3 – 8x Trinomials: x 2 + 2x + 3 5x 2 – 6x.

Adding and subtracting polynomials. 5x 3 + 2x 2 – x – 7 5x 3 + 2x 2 – x – 7 This is a polynomial in standard form: Leading Coefficient Degree Constant.

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

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.

Evaluate the following functions with the given value.

Adding and subtracting polynomials 1L interpret expressions that represent a quantity in terms of its context.

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

Polynomials and Polynomial Functions

2.1 Classifying Polynomials

8-1 Adding and subtracting Polynomials

6-3 Polynomials Warm Up Lesson Presentation Lesson Quiz

Let’s Begin!!! .

8-1 Adding and Subtracting Polynomials

Aim: How do we multiply polynomials?

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

Introduction to Polynomials

Adding and Subtracting Polynomials

Lesson 5.3 Operations with Polynomials

Objectives Classify polynomials and write polynomials in standard form. Evaluate polynomial expressions.

Warm-Up #23 (Monday, 10/26) Simplify (x+2)(3x – 4)

Let’s Begin!!! .

Adding and Subtracting Polynomials

Adding and Subtracting Mixed Measures Polynomials

Let’s Begin!!! .

8-1a Adding and Subtracting Polynomials

CLASSIFYING POLYNOMIALS

Polynomials CA 10.0.

Adding and subtracting

Homework Review.

Objectives Classify polynomials and write polynomials in standard form. Evaluate polynomial expressions.

Let’s Begin!!! .

3.1 Polynomials How do I know if it’s a polynomial?

Section P4 Polynomials.

CLASSIFYING POLYNOMIALS

Operations with Polynomials

Let’s Review Functions

Working with monomials and polynomials

Make sure you have book and working calculator EVERY day!!!

Polynomial Vocabulary

Let’s Begin!!! .

Let’s Begin!!! .

Let’s Begin!!! .

CLASSIFYING POLYNOMIAL

Classifying Polynomials

Presentation transcript:

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

Examples of Monomials Degree = 3 Degree = 6 Degree = 0

Examples of Monomials -2x³Degree = 3 Degree = 6 8 Degree = 0

Polynomials are created by adding monomials together.

Degree of a Polynomial = Highest power Degree =3 Degree = 1 Degree = 5

Special Names A polynomial with one term = monomial A polynomial with two terms = binomial A polynomial with three terms = trinomial A Second Degree polynomial = Quadratic A Third Degree polynomial = Cubic

Identify each Polynomial 4x² - 7xQuadratic, Binomial 6x³ - 9x + 3 Cubic, Trinomial 9x² + 8x – 9Quadratic, Trinomial 7x 4 – 5x² +1Fourth Degree Polynomial