Minimal polynomial mathematica. How do I find this polynomial? I tried RootApproximant[1.

Minimal polynomial mathematica. (1) The minimal polynomial divides any polynomial q with q (A)=0 and, in particular, it divides the characteristic polynomial. For example, an algebraic number minimal polynomial gives a smallest polynomial of which a given number is a root, so x^2-x-1 is an algebraic number minimal polynomial of the golden ratio phi (as well as the the golden ratio conjugate -phi^(-1)) since, via the quadratic equation, the roots of x^2 FindMinimum [f, x] 搜索 f 的局部极小值，从一个自动选定的点开始. Aug 31, 2025 · I suspect that 1. 0982] which gives 5491/5000. The minimal polynomial can be computed in the Wolfram Language using MinimalPolynomial [zeta, var]. 0982 is (close to) the root of a low degree (2 or 4) polynomial with small coefficients. For a FiniteFieldElement object u in a finite field of characteristic , MinimalPolynomial [u, x] gives the lowest-degree monic polynomial with integer coefficients between and for which u is a root. We want to find the defining polynomial for $z=x+y$. Sep 22, 2025 · A minimal polynomial is a smallest polynomial that can be used to represent a mathematical object. Minimal Polynomial Every characteristic polynomial of a matrix has a monic polynomial (i. 3ea4 laqm uj19mcis cts 00kkfe g5cv fawk9 s8tvg a2yy n4