三次方項的意思、翻譯和例句

是什麼意思

「三次方項」是指一個代數表達式中,變數的最高次方為三的項。通常在多項式中,三次方項的形式為 ax^3,其中 a 是係數,x 是變數。這種項在數學中常見於三次多項式的表示,並在解方程、圖形和應用問題中扮演重要角色。

依照不同程度的英文解釋

  1. A part of a math expression with a variable raised to the third power.
  2. A term in math where the variable is multiplied by itself three times.
  3. A mathematical expression where a variable is cubed.
  4. A term in a polynomial where the highest exponent is three.
  5. A part of an equation that involves a variable raised to three.
  6. A component of a polynomial characterized by the variable being raised to the third power.
  7. A term in algebraic expressions that indicates a power of three for a variable.
  8. A specific term in a polynomial where the variable is elevated to the third degree.
  9. An algebraic term that represents a variable raised to the third power, commonly found in cubic equations.
  10. A term in algebra that signifies a variable raised to the third power, often used in cubic functions.

相關英文單字或片語的差別與用法

1:Cubic term

用法:

在代數中,指的是變數的三次方項,通常出現在三次多項式中。這類項能夠影響圖形的形狀和根的數量。

例句及翻譯:

例句 1:

這個多項式的三次方項是 4x³。

The cubic term of this polynomial is 4x³.

例句 2:

在計算這個方程的根時,三次方項非常重要。

The cubic term is very important when calculating the roots of this equation.

例句 3:

我們需要找到這個三次方項的係數。

We need to find the coefficient of this cubic term.

2:Third-degree term

用法:

在多項式中,指的是變數的次方為三的項,通常用於描述多項式的特性和行為。

例句及翻譯:

例句 1:

這個多項式的第三次方項影響了它的圖形形狀。

The third-degree term of this polynomial affects its graph shape.

例句 2:

我們要分析這個方程的第三次方項

We need to analyze the third-degree term of this equation.

例句 3:

在這個方程中,第三次方項的係數是 2。

In this equation, the coefficient of the third-degree term is 2.

3:Cubic expression

用法:

通常指的是包含三次方項的整個代數表達式,可能還包括其他次方的項。

例句及翻譯:

例句 1:

這個立方表達式可以用來建模物理現象。

This cubic expression can be used to model physical phenomena.

例句 2:

我們需要簡化這個包含三次方項的立方表達式。

We need to simplify this cubic expression that contains a cubic term.

例句 3:

立方表達式的根可以通過代數方法找到。

The roots of the cubic expression can be found using algebraic methods.