POLYNOMIAL FUNCTIONS ACTIVITY NCTM Addenda Series/Grades 9-12 The Park and Planning Commission decided to consider three factors when attempting to improve the daily profits at their sports facility: ❖ The number of all-day admission tickets sold ❖ The cost of operating the facility ❖ The price of each all-day admission ticket After carefully analyzing their operating costs‚ they found that it would be impossible to cut them further. Daily Operating Costs
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Using Polynomials in the “Real World” Polynomial functions are used in our everyday lives in a few different ways‚ this includes art‚ architecture‚ construction‚ financial planning‚ and manufacturing. We can also calculate how long it will take one person to do a job alone when we know how long it takes a group to get it done as well. Farmers on crop farms work dawn to dusk through the growing season to produce the grains‚ fruits‚ and vegetables that feed the country. These equations help them
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ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM Chapter - 2 (Polynomials) Key Concepts Constants : A symbol having a fixed numerical value is called a constant. Example : 7‚ 3‚ -2‚ 3/7‚ etc. are all constants. Variables : A symbol which may be assigned different numerical values is known as variable. Example : C - circumference of circle r - radius of circle Where 2 & are constants. while C and r are variable Algebraic expressions : A combination of constants and variables
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4.5 Multiplying Polynomials In this case‚ both polynomials have two terms. You need to distribute both terms of one polynomial times both terms of the other polynomial. One way to keep track of your distributive property is to Use the FOIL method. Note that this method only works on (Binomial)(Binomial). F First terms O Outside terms I Inside terms L Last terms As mentioned above‚ use the distributive property until every term of one polynomial is multiplied times every
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Financial Polynomials Shatara Williams MAT221: Introduction to Algebra Instructor: Deshonda Stringer March 2‚ 2014 FINANCIAL POLYNOMIALS The assignment that I will be discussing is financial polynomials. The use of financial polynomials is used in the real world all the time. Financial polynomials are really important because it is an easy way for you to figure out how much you need to be able to plan a trip‚ retirement‚ or a college fund. Using the formula p (1+r/2) ^ (2) we could
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FINDING POLYNOMIALS In order to evaluate the polynomials‚ I will first need to write the polynomial expressions without any parenthesis. Therefore‚ according to the example‚ I will need to FOIL the binomial (1+r)2 and then multiply all terms by P. I will begin by rewriting the polynomial expression without any parenthesis in ascending order of the variable r‚ as opposed to descending order‚ with the exponent in the last term instead of the first term. P(1+r)2 This is the first expression
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Lab Report Title: Polynomial Functions Materials used: * A cylindrical object such as a soup can or thermos * Ruler or tape measure * Graphing technology (e.g.‚ graphing calculator or GeoGebra) Procedure 1. Measure and record the diameter and height of the cylindrical object you have chosen in inches. Round to the nearest whole number. 2. Apply the formula of a right circular cylinder (V = r2h) to find the volume of the object. (Note: Be sure to find the radius from the diameter
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How do we solve a Financial Polynomials? Mishell Baker MAT221: Introduction to Algebra Pro: Mariya Ivanova November 23‚ 2013 How do we solve a Financial Polynomials? When solving for Financial Polynomials I need to use the formula P (1 + r/2)2. I will be able to calculate how much interest my money will collect over a 1 year period. Then I can further figure out if I will have enough money over a longer period of time‚ to purchase my new item. I will use $200 at 10% interest for the first
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POLYNOMIALS IN DAILY LIFE Polynomials are a combination of several terms that can be added‚ subtracted or multiplied but not divided. While polynomials are in sophisticated applications‚ they also have many uses in everyday life. Although many of us don’t realize it‚ people in all sorts of professions use polynomials every day. The most obvious of these are mathematicians‚ but they can also be used in fields ranging from construction to meteorology. Polynomials in Construction and Material
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3. Algebra of Polynomials By now‚ you should be familiar with variables and exponents‚ and you may have dealt with expressions like 3x³ or 6x. Polynomials are sums of these "variables and exponents" expressions. Each piece of the polynomial‚ each part that is being added‚ is called a "term". Polynomial terms have variables which are raised to whole-number exponents (or else the terms are just plain numbers); there are no square roots of variables‚ no fractional powers‚ and no variables in the denominator
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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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