For a monomial, the number of variable factors multiplied together, which is the sum of the exponents; the degree of 3x²y is 3. For a polynomial, it is the greatest degree among its terms.
例文
話し言葉 x squared y has degree 3: add the exponents, 2 for the x and 1 for the y. x²y の次数は 3。指数を足すんだ。x が 2 で y が 1 だからね。
書き言葉・答案 State the degree of the polynomial 4x³ − 2x²y² + 7. 多項式 4x³ − 2x²y² + 7 の次数を答えよ。
言い間違えやすいところ
角の大きさの度(エントリ degree-measure)や、グラフの頂点の次数(エントリ degree-vertex)も同じ degree。「3 次の多項式」は a polynomial of degree 3、「3 度」は 3 degrees。
0 でない定数項(7 など)の次数は 0。特定の文字だけに注目した次数は、degree in x のように in を付けて言う。
根拠の件数
話し言葉計 52
degree of the polynomial | degree of a polynomial | degree of the term | degree of a term | degree of the monomial | degree of each term | highest degree | degree two polynomial | degree three polynomial | degree n polynomial52
書き言葉計 65
degree of the polynomial | degree of a polynomial | degree of the term | degree of a term | degree of the monomial | degree of each term | highest degree | degree two polynomial | degree three polynomial | degree n polynomial65
Khan Academy Algebra / Khan Academy AP Calculus / MIT OCW 18.01 Single Variable Calculus / MIT OCW 6.042 Mathematics for Computer Science / NancyPi / The Organic Chemistry Tutor
取得元(書き言葉)
MIT OCW lecture notes / OpenStax Algebra and Trigonometry 2e / OpenStax Calculus Vol 1-3 / OpenStax Elementary Algebra 2e / OpenStax Intermediate Algebra 2e / OpenStax Prealgebra 2e