###### Answer: 9×4 – x3 – x/5 Mixtures and solutions

Algebraic number theory. The Cayley–Hamilton theorem is an effective tool for computing the minimal polynomial of algebraic integers. For example given a finite extension [ … ] of and an algebraic integer ∈ [ … ] which is a non-zero linear combination of the ⋯ we can compute the minimal polynomial of by finding a matrix representing the -linear transformation

In mathematics a Möbius strip band or loop (US: / ˈ m oʊ b i ə s ˈ m eɪ-/ MOH-bee-əs MAY- UK: / ˈ m ɜː b i ə s /; German: [ˈmøːbi̯ʊs]) also spelled Mobius or Moebius is a surface with only one side (when embedded in three-dimensional Euclidean space) and only one boundary curve.The Möbius strip is the simplest non-orientable surface. It can be realized as a ruled surface.

In mathematics the resultant of two polynomials is a polynomial expression of their coefficients which is equal to zero if and only if the polynomials have a common root (possibly in a field extension) or equivalently a common factor (over their field of coefficients).In some older texts the resultant is also called the eliminant.. The resultant is widely used in number theory either …

Algebraic expression . The n th roots of unity are by definition the roots of the polynomial x n − 1 and are thus algebraic numbers. As this polynomial is not irreducible (except for n = 1) the primitive n th roots of unity are roots of an irreducible polynomial of lower degree called the cyclotomic polynomial …