公因式的意思、翻譯和例句

是什麼意思

「公因式」是數學術語,指的是多個數字或多項式的共同因數。簡單來說,公因式是能同時整除兩個或以上數字的因數。在代數中,公因式的尋找對於簡化多項式或解方程式非常重要。

依照不同程度的英文解釋

  1. A number that can divide two or more numbers evenly.
  2. A common number that is a factor of two or more numbers.
  3. A number that is shared by two or more numbers when you break them down.
  4. The largest number that can divide two or more numbers without leaving a remainder.
  5. A shared factor of two or more quantities.
  6. A mathematical term referring to a common divisor among several numbers.
  7. A divisor that is common to two or more expressions.
  8. A factor that is present in every member of a set of numbers.
  9. The greatest common divisor of two or more integers.
  10. The highest number that divides two or more numbers without a remainder.

相關英文單字或片語的差別與用法

1:Common factor

用法:

指的是能夠同時整除兩個或多個數字的因數。這個詞常用於數學中,尤其是在因式分解或簡化數學表達式時,能幫助找出共同的因數。

例句及翻譯:

例句 1:

6 和 9 的公因式是 3。

The common factor of 6 and 9 is 3.

例句 2:

在數學中,找到公因式是解決問題的一個重要步驟。

Finding the common factor is an important step in solving mathematical problems.

例句 3:

我們需要找出這兩個數字的公因式來簡化計算。

We need to find the common factor of these two numbers to simplify the calculation.

2:Greatest common divisor

用法:

這是指能夠整除兩個或多個數字的最大數字。在數學運算中,這個概念對於簡化分數或解決方程式非常重要。

例句及翻譯:

例句 1:

12 和 18 的最大公因數是 6。

The greatest common divisor of 12 and 18 is 6.

例句 2:

計算兩個數的最大公因數可以幫助我們簡化分數。

Calculating the greatest common divisor of two numbers can help us simplify fractions.

例句 3:

在數學競賽中,理解最大公因數的概念是很重要的。

Understanding the concept of the greatest common divisor is important in math competitions.

3:Shared factor

用法:

用來描述兩個或多個數字所共同擁有的因數,通常用於因式分解或簡化數學問題的過程中。

例句及翻譯:

例句 1:

4 和 8 的共享因數是 4。

The shared factor of 4 and 8 is 4.

例句 2:

我們需要找到這些數字的共享因數來進行簡化。

We need to find the shared factor of these numbers to simplify.

例句 3:

在解決這個問題時,我們發現了幾個共享因數。

While solving this problem, we discovered several shared factors.