Financial Polynomials Tabitha Teasley Math 221: Introduction to Algebra Regina Cochran March 22‚ 2014 There are many times in our life that we need to buy something big and expensive. In order to afford or buy these item‚ such as cars‚ trucks‚ and houses‚ we need to invest or save our money over time for that particular goal. Knowing how much money we need to begin with initially for an investment and how much money we need to save
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Unit 1: Introduction to Polynomial Functions Activity 4: Factor and Remainder Theorem Content In the last activity‚ you practiced the sketching of a polynomial graph‚ if you were given the Factored Form of the function statement. In this activity‚ you will learn a process for developing the Factored Form of a polynomial function‚ if given the General Form of the function. Review A polynomial function is a function whose equation can be expressed in the form of: f(x) = anxn + an-1xn-1 +
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HIGH SCHOOL FOR BOYS GRADE 9 POLYNOMIAL MATHS LESSON PLAN DATE: Term 2 2012 TIME: 1 HOUR Objective of the lesson Revision of how to: • Use the four basic mathematical operators on various polynomials • Factorise a polynomial depending on its structure • Solve an equation by factorising a polynomial Basic operator use on polynomials Time required: 20 Minutes Method: • Show how each operator works on a polynomial • Show exceptions to the rule
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Pre-Calculus—Prerequisite Knowledge &Skills III. Polynomials A. Exponents The expression bn is called a power or an exponential expression. This is read “b to the nth power” The b is the base‚ and the small raised symbol n is called the exponent. The exponent indicates the number of times the base occurs as a factor. Examples—Express each of the following using exponents. a. 5 x 5 x 5 x 5 x 5 x 5 x 5 = b. 8 x 8 x 8 x 8 x 8 x 8 x 8
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GEGENBAUER POLYNOMIALS REVISITED A. F. HORADAM University of New England‚ Armidale‚ Australia (Submitted June 1983) 1. INTRODUCTION The Gegenbauer (or ultraspherical) polynomials Cn(x) (A > -%‚ \x\ < 1) are defined by c\(x) = 1‚ c\(x) = 2Xx (1.1) with the recurrence relation nC„{x) = 2x(X + n - 1 ) < ^ - I O 0 - (2X + n - 2)CnA_2(^) (w > 2) . (1.2) Gegenbauer polynomials are related to Tn(x)‚ the Chebyshev polynomials of the first kind‚ and to Un(x)
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1 Class X: Maths Chapter 2: Polynomials Top Concepts: 1. The graph of a polynomial p(x) of degree n can intersects or touch the x axis at atmost n points. 2. 3. 4. A polynomial of degree n has at most n distinct real zeroes. The zero of the polynomial p(x) satisfies the equation p(x) = 0. For any linear polynomial ax + b‚ zero of the polynomial will be given by the expression (-b/a). 5. The number of real zeros of the polynomial is the number of times its graph touches or intersects x axis. 6. 7
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Polynomials: Basic Operations and Factoring Mathematics 17 Institute of Mathematics Lecture 3 Math 17 (Inst. of Mathematics) Polynomials: Basic Operations and Factoring Lec 3 1 / 30 Outline 1 Algebraic Expressions and Polynomials Addition and Subtraction of Polynomials Multiplication of Polynomials Division of Polynomials 2 Factoring Sum and Difference of Two Cubes Factoring Trinomials Factoring By Grouping Completing the Square Math 17 (Inst. of Mathematics) Polynomials: Basic Operations
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[pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic] |1. Which expression is not a polynomial? | |(Points : 3) | | [pic] Option A: [pic] | |
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understanding of factoring polynomials of degree greater than 2 (limited to polynomials of degree ≤ 5 with integral coefficients). a. Explain how long division of a polynomial expression by a binomial expression of the form x − a‚ a∈ I ‚ is related to synthetic division. b. Divide a polynomial expression by a binomial expression of the form x − a‚ a∈ I ‚ using long division or synthetic division. c. Explain the relationship between the linear factors of a polynomial expression and the zeros
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------------------------------------------------- Polynomial long division From Wikipedia‚ the free encyclopedia In algebra‚ polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree‚ a generalised version of the familiar arithmetic technique called long division. It can be done easily by hand‚ because it separates an otherwise complex division problem into smaller ones. Sometimes using a shorthand version called synthetic division is
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