Republic of the Philippines Department of Education Region IV – A CALABARZON Division of Antipolo City SAN JOSE NATIONAL HIGH SCHOOL GENERAL AND SPECIFIC COMPETENCIES IN MATHEMATICS IV (Advanced Algebra‚ Trigonometry and Statistics) A. Functions 1. Demonstrate knowledge and skill related to functions in general 1.1 Define a function 1.2 Differentiate a function from a mere relation * real life relationships * set of ordered pairs * graph of a given set of ordered
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functions. The Scilab syntax is simple‚ and the use of matrices‚ which are the fundamental object of scientific calculus‚ is facilitated through specific functions and operators. These matrices can be of different types including real‚ complex‚ string‚ polynomial‚ and rational. Scilab programs are thus quite compact and most of the time are smaller than their equivalents in C‚ C++‚ or Java. Scilab is mainly dedicated to scientific computing‚ and it provides easy access to large numerical libraries from
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Unit 1. MATHS 1. INVESTIGATORY PROJECT TOPIC : POLYNOMIAL a) Find the possible numbers of zeroes in linear‚ quadratic ‚cubic and bi-quadratic polynomial with atleast five polynomial each. Draw graph for each case. What is your observation and what is the utility of your research? Do the Work-Sheet printed overleaf b) Examples of each polynomial will be given . Find the possible numbers of zeroes in given linear‚ quadratic and cubic polynomial and write three more examples of each and write their
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a n times differentiable function around a given point by a n-th order Taylor-polynomial. For analytic functions the Taylor polynomials at a given point are fixed order truncations of its Taylor’s series‚ which completely determines the function in some locality of the point. There are numerous forms of it applicable in different situations‚ and some of them contain explicit estimates on the approximation error of the function by its Taylor-polynomial. Some examples of Taylor’s theorem are: Ex. 2) Expand log
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Algebra Archit Pal Singh Sachdeva 1. Consider the sequence of polynomials defined by P1 (x) = x2 − 2 and Pj (x) = P1 (Pj−1 (x)) for j = 2‚ 3‚ . . .. Show that for any positive integer n the roots of equation Pn (x) = x are all real and distinct. 2. Prove that every polynomial over integers has a nonzero polynomial multiple whose exponents are all divisible by 2012. 3. Let fn (x) denote the Fibonacci polynomial‚ which is defined by f1 = 1‚ f2 = x‚ fn = xfn−1 + fn−2 . Prove that the inequality 2 fn
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natural number factors other than itself and 1. The number “2” is the only prime number that is even. “0” and “1” are not prime numbers. A natural number greater than 1 that is not a prime number is a composite number. Factoring Polynomials Polynomials: Basic Operations An algebraic expression involving only nonnegative-integer powers of one or more variable and containing no variable in a
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bingo. Every student gets a bingo card to play. The way Ms. Nomial plays it is that she writes polynomials on the board‚ the students have to fully factor each polynomial. After they have factored the polynomial they cover any of those factored that they have on their card. To win the games the first student must cover five in a row‚ column‚ or diagonal wins factor bingo. Ms. Nomial wrote $ polynomials on the board which are 20x^2-13x +2‚ 12x^3y-75xy^3‚ 6x^2+3y^2-8x-4y‚ and 2x^2+23x-24. In order
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second order polynomial. Recall for a mass falling from rest‚ that 1 (1.1) y a yt 2 2 Suppose a mass falls through n successively greater displacements‚ each time starting from rest. The displacements can be expressed a 2 y y t ; 1 n . (1.2) 2 Analyzing the Data Data for y is not linear in time t. We have two unique ways we can analyze the data. The first is to simply plot the data with vertical displacement on the y-axis and time on the x-axis and perform a 2nd order polynomial curve fit
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Copyright © 2012 by University of Phoenix. All rights reserved. Course Description This course explores advanced algebra concepts and assists in building the algebraic and problem solving skills developed in Algebra 1A. Students will solve polynomials‚ quadratic equations‚ rational equations‚ and radical equations. These concepts and skills will serve as a foundation for subsequent business coursework. Applications to real-world problems are also explored throughout the course. This course is
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Math Assessment Sample Items Section 1: Numerical Skills/Pre-algebra Placement Test Percentage of Items in Pool Content Areas Basic operations with integers Basic operations with fractions Basic operations with decimals Exponents Ratios and proportions Percentages Conversions between fractions and decimals Multiples and factors of integers Absolute values of numbers Averages (arithmetic means) Order concepts (greater than; less than) Estimation skills Number theory Counting problems and simple probability
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