Slope of a polynomial function - Physics Forums
2011年1月18日 · Function Polynomial Slope In summary, the slope of the function y=.00002715x^2-.04934171x+44.18240907 is .0000543 and the y-intercept is -.04934171. Jan 18, 2011
Determining the least possible degree of a polynomial function
2013年10月8日 · Homework Statement Determine the least possible degree of the function corresponding to the graph shown below. Justify your answer. Homework Equations The graph is attached. I remade the graph using google grapher, but the graph I got in the test have exactly the same x-intercepts (-2 of order...
Finding a polynomial function given zeros - Physics Forums
2014年3月9日 · To find a polynomial function given its zeros, you need to follow these steps: Write out the zeros of the function in the form (x - a), where a is the zero. Multiply all of the (x - a) terms together using the distributive property. Simplify the resulting expression to get the polynomial function. Can a polynomial function have more than one ...
What's the difference between polynomials and polynomial …
2010年11月10日 · A polynomial in [tex]\mathbb{Q}[x][/tex] may be viewed as a function from the integers, rationals, reals, complex numbers, real nxn matrices, function spaces, sequence spaces or anything with a ring structure. The domain need to be specified before you technically can say it is a function (the co-domain is usually implicit).
Proof: a polynomial of degree n has at most n roots. - Physics …
2009年9月26日 · Prove that if f is a polynomial function of degree n, then f has at most n roots, i.e., there are at most n numbers a with f(a) = 0. Homework Equations N/A The Attempt at a Solution I know that I'm supposed to use induction on the degree of the polynomial. If we assume a polynomial of degree 0, then f(x) is a constant and has no real roots.
Finding Maxima/Minima of Polynomials without calculus?
2016年12月2日 · You can see from calculus that if a polynomial has a "repeated root" then that value is also a root of its derivative. Perhaps the students are expected to reason about the signs of the factors. For example, the factor (x-2) changes signs "as x changes from less than 2 to greater than 2", but since that factor is squared, the polynomial doesn't ...
Real World Applications of Cubic Equations - Physics Forums
2005年1月17日 · Hey, k-style, for 7th degree polynomials, maybe that degree would best fit some sets of measured data; just depending on what the person analyzing the set finds to work best. No specific application comes to mind - just any set of points, (x, y) could be fit to some findable polynomial function.
Find a cubic function that has horizontal tangents at two given …
2008年7月22日 · Find a cubic function ax^3 + bx^2 + cx + d whose graph has horizontal tangents at the points (-2, 6) and (2. 0). Homework Equations No idea. The Attempt at a Solution I realize that the trick in here somewhere is to work "backwards". I completed a problem earlier that asked me to find the points at which a given function had horizontal tangents.
Solving Cubic Polynomial: Prove Two Distinct Roots - Physics Forums
2015年1月17日 · In summary, a cubic polynomial is a mathematical expression with a variable raised to the power of 3 and can be solved using various methods such as the cubic formula, factoring, or graphing. Distinct roots are solutions that are different from each other, and it can be proven that a cubic polynomial has two distinct roots using the ...
If a polynomial is identically zero, then all its coefficients are 0
2021年3月9日 · If a polynomial has a non-zero coefficient, it means that there is a term in the expression that cannot be cancelled out. Therefore, the polynomial cannot be identically zero. All coefficients must be 0 in order for all terms to cancel out and result in a constant value of 0. Can a polynomial be identically zero with non-zero coefficients?