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Polynomial arithmetic is a branch of algebra dealing with some properties of polynomials which share strong analogies with properties of number theory relative to integers. It includes basic mathematical operations such as addition, subtraction, and multiplication, as well as more elaborate operations like Euclidean division, and properties related to roots of polynomials. The latter are essentially connected to the fact that the set ''K''() of univariate polynomials with coefficients in a field ''K'' is a commutative ring, such as the ring of integers . ==Elementary operations on polynomials== Addition and subtraction of two polynomials are performed by adding or subtracting corresponding coefficients. If : then addition is defined as : where m > n Multiplication is performed much the same way as addition and subtraction, but instead by multiplying the corresponding coefficients. If then multiplication is defined as where . Note that we treat as zero for and that the degree of the product is equal to the sum of the degrees of the two polynomials. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「polynomial arithmetic」の詳細全文を読む スポンサード リンク
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