次方項的意思、翻譯和例句

是什麼意思

「次方項」是數學術語,指的是在多項式中,某個變數的指數或冪的項。這些項通常以形式 ax^n 表示,其中 a 是常數,x 是變數,n 是非負整數。次方項可用於表示多項式的不同次數,並且是解決方程和進行代數運算的重要組成部分。

依照不同程度的英文解釋

  1. A part of a math expression that has a number raised to a power.
  2. A term in an equation that shows how many times to use a number.
  3. A part of a mathematical expression involving powers.
  4. A term that includes a variable raised to a specific exponent.
  5. A component of a polynomial that shows the degree of the variable.
  6. A term that represents a variable raised to an integer exponent.
  7. A mathematical expression that features a variable raised to a power.
  8. An element of an algebraic expression where a variable is raised to a certain exponent.
  9. A term in a polynomial where the variable is raised to a non-negative integer.
  10. A part of a polynomial that indicates how many times a base is multiplied by itself.

相關英文單字或片語的差別與用法

1:Power term

用法:

指的是在數學中,變數的次方所形成的項。例如,在表達式 x^3 中,x^3 就是一個次方項。這種術語通常用於描述多項式中變數的冪。

例句及翻譯:

例句 1:

在多項式中,x^4 是一個次方項

In the polynomial, x^4 is a power term.

例句 2:

這個方程式的次方項決定了其圖形的形狀。

The power terms of this equation determine the shape of its graph.

例句 3:

我們需要計算每個次方項的係數。

We need to calculate the coefficients of each power term.

2:Exponent term

用法:

專門指變數的冪或指數的項,強調了變數的次方。通常在代數運算中,這些項是關鍵的組成部分。

例句及翻譯:

例句 1:

這個多項式的指數項包含了所有的變數冪。

The exponent terms of this polynomial include all the variable powers.

例句 2:

每個指數項都有其對應的係數。

Each exponent term has its corresponding coefficient.

例句 3:

在解這個方程時,我們需要特別注意指數項的影響。

When solving this equation, we need to pay special attention to the effect of the exponent terms.

3:Polynomial term

用法:

指的是多項式中由變數及其冪所組成的項。這些項的次方決定了多項式的度數。

例句及翻譯:

例句 1:

這個多項式的每個項都是一個次方項

Each term of this polynomial is a power term.

例句 2:

我們可以將多項式的次方項分別列出來。

We can list out the polynomial's power terms separately.

例句 3:

多項式的次方項影響其根的數量。

The power terms of the polynomial affect the number of its roots.