PPT-5 .3 – Polynomials and Polynomial Functions

Definitions Coefficient the numerical factor of each term Constant the term without a variable Term a number or a product of a number and variables raised to a power Polynomial a finite sum of terms of the form . Examples of polynomials in one variable 4 8 13 8 Examples of expressions that are not polynomials 3 1 Degrees of Polynomials The degree of a polynomial is the highest power of the variable that occurs Remember that an expression that does not con Polynomials and Polynomial Functions. Definitions. Terms. Degree of terms and polynomials. Polynomial Functions. Evaluating. Graphing. Simplifying by Combining Like Terms. Adding & Subtracting Polynomials. Goal: To simplify polynomial expressions by adding or subtracting. Standard: . 9.2.3.2 – Add, subtract and multiply polynomials; divide a polynomial by a polynomial of equal or lower degree.. Guiding Question: How do I simplify polynomials expressions? AND how do I add or subtract polynomials expressions?. 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).. 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.  . An order . differential equation has a . parameter family of solutions … or will it?.  . 0. 1. 2. 3. 4. 0. 0. 1. 2. 3. 4. 1. 1. 2. 3. 4. 0. 2. 2. 3. 4. 0. 1. 3. 3. 4. 0. 1. 2. 4. 4. 0. 1. 2. 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.. Algebra 2. Chapter 5. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Now, we have learned about several properties for polynomial functions. Finding y-intercepts. Finding x-intercepts (zeros). End behavior (leading coefficient, degree). Testing values for zeros/factors (synthetic division) . Review of Factoring. 2. nd. Degree Polynomials. x. 2. 9x 20 . = (x 5)(x 4). . x. 2. - 11x 30. = (x-6)(x-5). . 3x. 2. 20x 12. . = (3x 2)(x 6) . Factoring of higher-degree polynomials. 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 . Objective: . Recognize the shape of basic polynomial functions. Describe the graph of a polynomial function. Identify properties of general polynomial functions: Continuity, End Behaviour, Intercepts, Local . 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.