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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.
Describe what this value represents in practical terms. Choose the correct answer below. Both companies charge $67.20 for 80 miles driven.
the average cost function.
there are 6 different colored kittens at the pet store brown white black calico orange and gray. if annies family wants
Solve the given system by the substitution method.4x + y = 217x - 2y = 18
find a polynomial of degree 5 with real coefficients and i as a root of multiplicity 2 and the square root of 5 as a
Find the characteristic polynomial(equation) for the matrix A. Verify that the eigenvalues for A are λ1 = 5 and λ2 = -1. State the spectrum, σA, for matrix A
The profit function for the Recklus Hang gliding Service is P(x) = -0.4x^2 + fx - m, where f represents the set up fee for a customer's daily excursion and m represents the monthly hanger rental.
Fundamental theorem of calculus.
The pattern continues through ninety-seven pulses followed by a pause and then repeats. Ellie is convinced that only intelligent life could generate the structure in the sequence of pulses. "It's hard to imagine some radiating plasma sending out a..
a 10-foot tree casts a 12-foot shadow. at the same time a nearby cell tower casts a 60-foot shadow. how tall in feet is
what is the equation of thine that passes through the given point 11 and is perpindicular to the given line
Which of the following are functions? The two problems, i.e., 1 & 3, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reason for 1, 2, & 3.
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