Translation guide
In mathematics, a polynomial is an expression consisting of variables and coefficients. This guide covers how to refer to polynomials in Japanese, including the standard term and related expressions.
Referring to a polynomial in algebra or calculus
The standard mathematical term for 'polynomial'. Used in all contexts from school to advanced research.
Please factor this polynomial.
A quadratic polynomial represents a parabola.
A broader term meaning 'integral expression', often used in algebra to contrast with fractional expressions. Can be used for polynomials with integer coefficients.
We will learn addition and subtraction of polynomials.
Referring to a function defined by a polynomial
Explicitly 'polynomial function'. Used when distinguishing from other types of functions.
Polynomial functions are continuous.
Referring to an equation where a polynomial is set equal to zero or another expression
Standard term for 'polynomial equation'.
Find the solutions to this polynomial equation.
Specifying the degree of a polynomial
Pattern: [number]次多項式. For example, 二次多項式 (quadratic polynomial), 三次多項式 (cubic polynomial).
There is no formula for polynomials of degree five or higher.
多項式 is the most common and direct translation. 整式 is sometimes used in algebra textbooks to emphasize that the expression has no variables in denominators, but in everyday math contexts, 多項式 is preferred.