# Questions tagged [polynomials]

Questions on the functionality operating on polynomials

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### odd output from DifferenceDelta

I would appreciate an explanation of why DifferenceDelta produces a complicated expression for a simple quadratic. I see that this is caused by the Real value <...
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### How to check if an arbitrary equation is a polynomial?

I am has some equation, how to check if it is a polynomial(or can be converted to polynomial)? Example equation: $a+\frac{1}{a}=k$ I know about PolynomialQ, but ...
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### Finding a Rational univariate representation (RUR) for a Polynomial System

According to Wikipedia, a RUR of a zero-dimensional system consists in a linear combination of the variables, $x_0$ called ''separating variable'', and a system of equations : \begin{cases} h(x_0)=0\\...
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### why is the plot like this?

Does anybody know the problem? why is the plot hatched ? I just want a simple plot. g[z_, t_] := 1 + t*z + z^3 ...
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### MMA has an error in calculating the minimum polynomial of a rational number

The minimum polynomial of Power[2, (3)^-1] (-(1/2) + (I Sqrt)/2) Python minimal_polynomial function can get the result as ...
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### Testing whether polynomial is in algebra of bunch of given polynomials

I know that mathematica can check whether one polynomial is in the ideal of a given collection of polynomials, but I was wondering whether it can check if a polynomial is in the algebra of a given ...
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### Partial monomial pattern matching

Is there an elegant way to "partially" match monomials in a polynomial expression? Let me explain what I mean by "partially" with an example. Suppose I have ...
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### Using the solve function for big numbers, getting a failure now

When I try to solve: Solve[y^2==441+48*x*(1+x)(-13+16*x)&&1100*10^9<=y<=1200*10^9&&x>=2,{y,x},Integers] My code runs for 169 seconds and ...
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### How to check if 0 polynomial lies in span of some polynomials?

I have lot of polynomials like this ...
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### Finding a coefficient that satisfies and intersecting condition

Suppose I have the following polynomial: ...
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### Transform rational equations to polynomial equations

I have a list of rational equations and I would like to convert it to a list of polynomial equations. I know that none of the variables and none of the denominators could ever be 0. So far I have ...