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  1. What's the difference between polynomials and polynomial …

    Nov 10, 2010 · The discussion clarifies the distinction between polynomials and polynomial functions, emphasizing that polynomials exist within a ring without a specified domain, while …

  2. Do polynomials have asymptotes? • Physics Forums

    Apr 7, 2006 · First of all, do polynomials have asymptotes, including oblique ones? I know that rational functions have asymptotes, and it seems that most, if not all, of my book's exercises …

  3. Is the Set of Polynomials Dense in Continuous Function Space?

    Jun 8, 2007 · The set of all polynomials with rational coefficients is dense in the space of continuous functions defined on the interval [a,b], denoted as C ( [a,b]), using the metric ρ (f,g) …

  4. TI-83/84 Plus - Storing polynomial functions - Physics Forums

    Jun 21, 2012 · Storing polynomial functions on the TI-83 and TI-84 Plus calculators requires creating a program that prompts for the value of x and displays f (x). Users can define …

  5. How Does Gaussian-Legendre Quadrature Approximate Non …

    Jul 2, 2022 · The n-point Gaussian-Legendre quadrature provides exact numerical integration for polynomials up to degree 2n-1. For non-polynomial functions, it approximates the integral …

  6. Vector Spaces and polynomial functions - Physics Forums

    Feb 7, 2004 · However, you /can/ say that the sum of two second degree polynomials will be /a/ polynomial, and that its degree will be at most 2, hence the set of polyonomials of degree <= 2 …

  7. Polynomial and Rational Functions - Physics Forums

    Dec 6, 2012 · Explore the concept of rational functions and their applications Study the significance of function validity in real-world scenarios Students, educators, and anyone …

  8. Finding the Landing Path of an Airplane Using Cubic Polynomial …

    Jun 19, 2005 · The discussion focuses on determining the landing path of an airplane using cubic polynomial functions, specifically the equation y = ax^3 + bx^2 + cx + d. The key points include …

  9. End Behavior of Even and Odd-Degree Polynomial Functions

    Sep 30, 2012 · Homework Statement My textbook tells me that "An even-degree polynomial function has the same end behavior" and "An odd-degree polynomial polynomial function has …

  10. Are the set of all the polynomials of degree 2 a vector space?

    Feb 2, 2012 · For example, adding the polynomials p (x) = x^2 + x + 1 and q (x) = -x^2 results in a first-degree polynomial, which confirms that P does not satisfy the criteria for being a vector …