PPT-Polynomials and Polynomial Functions

Algebra 2 Chapter 5 This Slideshow was developed to accompany the textbook Larson Algebra 2 By Larson R Boswell L Kanold T D amp Stiff L 2011 Holt McDougal Some examples and diagrams are taken from the textbook. Polynomials and Polynomial Functions. Definitions. Terms. Degree of terms and polynomials. Polynomial Functions. Evaluating. Graphing. Simplifying by Combining Like Terms. Adding & Subtracting Polynomials. Objectives: Identify Polynomial functions. Determine end behavior recognize characteristics of polynomial functions. Use factoring to find zeros of polynomial functions.. Polynomials of degree 2 or higher have graphs that are smooth and continuous. By smooth we mean the graphs have rounded curves with no sharp corners. By continuous we mean the graphs have no breaks and can be drawn without lifting your pencil from the rectangular coordinate system.. E. xamples . on: Adding and Multiplying Polynomials. By: Sarah Santamaria. Teacher: Mr. Miguel. Class: Algebra 2. MT 2 Level 4 . What are Polynomials?. Polynomial: Expression of more than two algebraic terms that contain . Section 8.7 AP Calculus. Taylor Polynomials are used to show that polynomial functions can be used as approximations for other elementary functions.. To find P to approximate f, choose #c . s.t. . P(c)=f(c).. Chapter 6. Polynomial Functions. Polynomial Functions. A polynomial is a monomial or the sum of monomials.. A Polynomial Function:. P(x) = . a. n. x. n. + a. n-1. x. n-1 . + … + a. 1. x + a. 0. Where n is a nonnegative integer and the coefficients a. Algebra II with . Trigonometry. Ms. Lee. Essential Question. What is a polynomial?. How do we describe its end behavior?. How do we add/subtract polynomials?. Essential Vocabulary. Polynomial . Degree. Cyclic codes . Juris . Viksna. , . 2017. Why cyclic codes?. We started with restricting our attention to linear codes:. Advantages. . minimal distance. h. (. C. ) is easy to compute if . C. is a linear code. Lesson Objective: NCSCOS 1.01 – Write the equivalent forms of algebraic expressions to solve problems. Students will know the terms for polynomials.. Students will know how to arrange polynomials in ascending and descending order.. Section 2.4. Terms. Divisor: . Quotient: . Remainder:. Dividend: . PF. FF .  . Long Division. Use long division to find . divided by . ..  . Division Algorithm for Polynomials. Let . and . be polynomials with the degree of . Objectives:. To approximate . x. -intercepts of a polynomial function with a graphing utility. To locate and use relative . extrema. of polynomial functions. To sketch the graphs of polynomial functions. Standard 15. Graph and analyze polynomial and radical functions to determine:. Domain and range. X and y intercepts. Maximum and minimum values. Intervals of increasing and decreasing. End behavior. With the function: f(x) = . HW ANS: Day 3 . pg. 170-171 #’s 3,9,11,15,17,19,27,29,35,37,41 . . SWBAT: Divide Polynomials using Long Division Page 13. Do by hand. Factor First. SWBAT: Divide Polynomials using Long Division . Plot both x & y intercepts to graph.. A-APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, multiplication and division.. What do we already know about polynomial functions?. They are either ODD functions. They are either EVEN. functions. Linear. y = 4x - 5. Cubic. y = 4x. 3. - 5. Fifth Power. y = 4x. 5. –x + 5. Quadratics.