About a definition: What is the number of terms of a polynomial P …
May 12, 2025 · The discussion revolves around the definition of "terms" in a polynomial, specifically using the example of P (x) = 3x^5 + x^2 - 4. Participants debate whether this …
Polynomial Function Definition Question - Physics Forums
Nov 2, 2005 · I was wondering if a converging infinite series which includes "x" to ascending whole number powers would fit under the definition of a polynomial function. As an example:
Determining the least possible degree of a polynomial function
Oct 8, 2013 · The discussion revolves around determining the least possible degree of a polynomial function based on a provided graph, which features specific x-intercepts and …
How to show a function is twice continuously differentiable?
Mar 31, 2021 · If you have the following function: where and are continuously differentiable functions on (or, at least, on an interval containing ), then: First, we have to check that is …
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 …
What Does It Mean for a Function to Have Compact Support?
Feb 8, 2011 · Hello, given a function f:R->R, can anyone explain what is meant when we say that " f has compact support "? Some sources seem to suggest that it means that f is non-zero only …
Equal Coefficients Polynomials - Physics Forums
Jun 30, 2009 · Additionally, the conversation touches on the distinction between polynomial equality and the equality of the functions they represent, noting that in some cases, different …
Upper and Lower Bounds of Polynomials • Physics Forums
Jul 1, 2018 · To find the upper and lower bounds of the polynomial f (x)=2x^3+3x^2-14x-21, synthetic division is employed with trial values, where a positive result indicates an upper …
Slope of a polynomial function - Physics Forums
Jan 18, 2011 · This function is the line of best fit of the data and I need to find the slope of the graph. If you could help me that would be great. When you say "this function" I assume you …
Finding Maxima/Minima of Polynomials without calculus?
Dec 2, 2016 · I'm tutoring a student who is in a typical precalculus/trig course where they're teaching her about graphing various arbitrary polynomials. Among the rules of multiplicity and …