Function Long division question

In summary, long division is a method of dividing two numbers by hand, typically used when the divisor has more than one digit. To perform long division, you must set up the problem, divide the first digit of the dividend, multiply the quotient by the divisor, and repeat until all digits have been brought down. The purpose of long division is to accurately divide numbers and it can be used for any two numbers. While there are faster methods, long division is a fundamental math skill that can aid in understanding division.
  • #1
tmt1
234
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So, I am wondering if there is a way to long divide $x+2 $ / $x -1$.

My result is $1 + \frac{4}{x -2}$ but does

$[1 + \frac{4}{x -2} ] * [ x - 2]$ = $x +2$

Thanks
 
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  • #2
\(\displaystyle \begin{array}{r}1\hspace{28px}\\x-1\enclose{longdiv}{x+2} \\ -\underline{\left(x-1\right)} \hspace{-9px} \\ 3 \end{array}\)

Hence:

\(\displaystyle \frac{x+2}{x-1}=1+\frac{3}{x-1}\)
 

FAQ: Function Long division question

What is long division?

Long division is a method of dividing two numbers by hand. It is typically used when the divisor (the number you are dividing by) has more than one digit.

How do I perform long division?

To perform long division, you must first set up the problem by writing the dividend (the number you are dividing) on the left and the divisor on the right. Then, divide the first digit of the dividend by the divisor and write the quotient above the first digit. Multiply the quotient by the divisor and write the product below the first digit of the dividend. Subtract the product from the first digit of the dividend and bring down the next digit. Repeat this process until you have no more digits to bring down. The final answer will be the quotient with any remainder written as a fraction.

What is the purpose of long division?

The purpose of long division is to accurately divide two numbers. It is a useful skill for solving math problems, calculating measurements, and understanding fractions and decimals.

Can I use long division for any numbers?

Yes, long division can be used for dividing any two numbers. However, it is most commonly used when the divisor has more than one digit.

Is there a faster way to divide numbers than long division?

Yes, there are other methods for dividing numbers such as using a calculator or using a different type of division called short division. However, long division is a fundamental math skill and can be helpful in understanding the concept of division.

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