PPT-Ch 7-4 Polynomials Objectives

The student will be able to 1 find the degree of a polynomial 2 arrange the terms of a polynomial in ascending or descending order What does each prefix mean mono one bi two. 2 The Primitive element theorem 3 Finite separable extensions have a primitive element Key words and phrases Primitive element 64257nite separable extensions factorization Example 121 We know that the polynomial is the product of all the degree moni 3 Characterization of perfect 64257elds of positive characteristic Key words and phrases Separable polynomial separable element sepa rable extensions derivative of a polynomial perfect 64257elds Let be a 64257eld We have seen that the discriminant o Polynomials are attractive because they are well understood and they have signi64257cant simplicity and structure in that they are vector spaces and rings Additionally degreetwo polynomials conic sections that are also known as quadrics show up in m 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 are attractive because they are well understood and they have signi64257cant simplicity and structure in that they are vector spaces and rings Additionally degreetwo polynomials conic sections that are also known as quadrics show up in m The student will be able to:. 1. add and subtract polynomials.. SOL: A.2b. Designed by Skip Tyler, Varina High School. 1. Add the following polynomials:. (9y - 7x + 15a) + (-3y + 8x - 8a). Group your like terms.. 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?. Classify polynomials and write polynomials in standard form. . Evaluate . polynomial expressions. .. Add and subtract polynomials. . Objectives. monomial. degree of a monomial. polynomial. degree of a polynomial. 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.. 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 . Georgina . Hall. Princeton, . ORFE. Joint work with . Amir Ali Ahmadi. Princeton, ORFE. 1. 5/4/2016. IBM May 2016. Nonnegative and convex polynomials. A polynomial . is nonnegative if . How does . nonnegativity. SOL A.2b. REVIEW. Represent . Polynomials Using Algebra . Tiles. Represent x. 2. 3. 2) Represent x. 2. 4x – 2. . REVIEW. Represent . Polynomials Using Algebra . Tiles. 3) Represent 3x. 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 .