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Show that the product of a polynomial and its reciprocal polynomial is a palindromic polynomial.Hint Consider the zeros.
Definition of reciprocal polynomial of f(x) for the book Introduction to the Theory of Error-Correcting Codes, by Vera Pless, 3rd edition Page 58 and 59.
If f(x) is a polynomial of degree m, the reciprocal polynomial of f(x) is defined to be .If , its reciprocal polynomial equals ; that is, the coefficients are written in reverse order.
Theorem: If is a root of is a root of g(x), reciprocal polynomial of f(x). Also f(x) is irreducible iff its reciprocal polynomial is irreducible, and f(x) is primitive iff its reciprocal polynomial is primitive.
logarithms and exponents are inversely related. what does this mean mathematically and how can we use an inverse to
The fourth degree Taylor Polynomial for f(x) about x = 3 is: Show that the function has a local maximum at x = 1.
Make a graph for f
Find all solutions of each of the systems of congruences
This question concerns the linear transformation represented by a 3x3 matrix of real numbers.
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Find parametric equations for the curve that consists of all possible positions of the point P in the figure, using the angle θ as the parameter. The line segment AB is tangent to the larger circle.
Determine the vertex, intercepts and domain
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Calculating the compound interest formula.
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find the range of each function for the given domain. fx2x-7 -2 -1 0 1
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