Degree The degree of a polynomial is the value of the highest exponent. E.g. 5x3 - 4x2 + 7x - 8 The highest exponent is 3,  the degree of this polynomial.

Slides:



Advertisements
Similar presentations
Section P4 Polynomials. How We Describe Polynomials.
Advertisements

Degree and Lead Coefficient End Behavior
Quadratic Functions By: Cristina V. & Jasmine V..
2.1 Quadratic Functions Completing the square Write Quadratic in Vertex form.
1. Solve: 2x 3 – 4x 2 – 6x = 0. (Check with GUT) 2. Solve algebraically or graphically: x 2 – 2x – 15> 0 1.
Page 4 – 6 #7, 8, 10, 12, page 6 Challenge yourself.
Today in Pre-Calculus You will get your test back tomorrow. Notes: –Polynomial Functions –Linear Functions Homework.
Polynomials – Things to remember By: Noelle Carden.
Polynomials P4.
2nd Degree Polynomial Function
Chapter 10 : CLASSIFYING POLYNOMIAL
Objective 9.1 Students will be able to: classify polynomials and write polynomials in standard form; evaluate polynomial expressions; add and subtract.
Solving Quadratic Equations by Graphing Quadratic Equation y = ax 2 + bx + c ax 2 is the quadratic term. bx is the linear term. c is the constant term.
8-3 MULTIPLYING POLYNOMIALS AGAIN Goal: Multiply polynomials using the FOIL method Eligible Content: A
 Pg. 474 (4, 9, 12). Multiplying Polynomials  SWBAT multiply binomials using the FOIL method.  SWBAT multiply polynomials using the distributive property.
Multiplying Binomials Mentally (the FOIL method) Chapter 5.4.
Algebra 3 Lesson 2.1 Objective: SSBAT multiply polynomial expressions. Standards: M11.D
2.2 Warm Up Find the sum or difference. 1. (2x – 3 + 8x²) + (5x + 3 – 8x²) 2. (x³ - 5x² - 4x) – (4x³ - 3x² + 2x – 8) 3. (x – 4) – (5x³ - 2x² + 3x – 11)
EQ – what is a polynomial, and how can I tell if a term is one?
1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)
Chapter 5.2 Solving Quadratic Equations by Factoring.
7.1 Polynomial Functions Evaluate Polynomials
Warm-up What is the standard form of a linear equation?
Chapter 2 POLYNOMIAL FUNCTIONS. Polynomial Function A function given by: f(x) = a n x n + a n-1 x n-1 +…+ a 2 x 2 + a 1 x 1 + a 0 Example: f(x) = x 5.
Chapter P Prerequisites: Fundamental Concepts of Algebra 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 P.4 Polynomials.
13.1 Introduction to Quadratic Equations
2.4 part 1 - Basic Factoring I can... - Factor using GCF -Factor a difference of two perfect squares -Factor basic trinomials.
Jeopardy $100 Factoring Quadratics Vertex Factoring Polynomials Potpourri $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300.
Aim: How do we determine whether a function is one - to one, determine domain and range? Do Now: Determine whether the following function is onto (surjective)
PreCalculus Section P.1 Solving Equations. Equations and Solutions of Equations An equation that is true for every real number in the domain of the variable.
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.
2.5 The Fundamental Theorem of Algebra. The Fundamental Theorem of Algebra The Fundamental Theorem of Algebra – If f(x) is a polynomial of degree n, where.
Quadratic Relations Polynomials Day 2: Multiplying Binomials.
DO NOW 11/12/14 Homework in the basket please Multiply the following polynomials 1. (3x + 1)(3x – 1) 1. (2z – 7)(z + 4) 1. (4a + 2)(6a2 – a + 2) 1. (7r.
Solving Quadratic Equation by Graphing Students will be able to graph quadratic functions.
1 Algebra 2: Section 6.2 Evaluating and Graphing Polynomial Functions (Day 1)
Aims: To understand what a polynomial is To be able to add and subtract polynomials To be able to multiply polynomials Polynomials/Factorisation Lesson.
Definitions of the Day (DODs) 10.1 Adding and Subtracting Polynomials Term Polynomial Degree of a Term Degree of a polynomial Standard Form.
Term 1 Week 8 Warm Ups. Warm Up 9/28/15 1.Graph the function and identify the number of zeros: 2x 3 – 5x 2 + 3x – 2 (Hit the y = ) 2.Identify the expressions.
Pre-Cal Chapter 2 Polynomial, Power, and Rational Functions Section 2.1.
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.
Algebra 2cc Section 2.10 Identify and evaluate polynomials A polynomial function is an expression in the form: f(x) = ax n + bx n-1 + cx n-2 + … dx + e.
Adding and Subtracting Polynomials
Evaluating and Graphing Polynomial Functions
Solving Quadratic Equation by Graphing
10.4 Solving Factored Polynomial Equations
Do Now: Evaluate the function for the given value of x.
Use a graphing calculator to graph the following functions
Objective: SSBAT multiply polynomial expressions.
Algebra II Section 5-3 Polynomial Functions.
Solving Quadratic Equation and Graphing
Section 7.3 Graphs of Functions.
Solving Equations by Factoring
Solving Quadratic Equation by Graphing
Solving a Quadratic Equation by Graphing
Use back - substitution to solve the triangular system. {image}
Polynomial Functions IM3 Ms.Peralta.
Evaluate Polynomial Functions
Exponents and Scientific Notation
Solving Quadratic Equation by Graphing
Solving Quadratic Equation by Graphing
Homework Review.
Factoring Quadratic Equations
Function Notation and Evaluating Functions
Solving Quadratic Equation by Graphing
Solving Quadratic Equation
Standard Form Quadratic Equation
Operations with polynomials
5.4 Completing the Square.
There is a pattern for factoring trinomials of this form, when c
Presentation transcript:

Degree The degree of a polynomial is the value of the highest exponent. E.g. 5x3 - 4x2 + 7x - 8 The highest exponent is 3,  the degree of this polynomial is 3 y = -6x + 39 The highest exponent is 1,  the degree is 1 This is a linear function (in the form y = mx + b) Linear functions have a degree of 1 y = 3x2 + 2x + 16 The highest exponent is 2,  the degree is 2 This is a quadratic function (in the form y = ax2 + bx + c) Quadratic functions have a degree of 2

Function Notation f(x) is called function notation It is read as “f of x” or “f at x” E.g. y = 2x - 7 would be written as f(x) = 2x - 7 in function notation f(2) = 5 This means that when x = 2, y = 5 Examples

FOIL Firsts Outsides Insides Lasts E.g. Expand (x + 3)(x - 5)

FRAME IT! Add the new information that you learned about degree and function notation to your “best friend” Homework: p. 24 # 2a-c, 3, 6 p. 32 # 1-5, 6bcd, 7-12, 13acd, 16, 17