Answer:
6a - 3
Step-by-step explanation:
Dividend: A number/expression that is divided by the divisor.
Divisor: The number/expression that divides the dividend.
Quotient: The result obtained by the division.
Remainder: The number/expression left behind.
Long division method
- Divide the first term of the dividend by the first term of the divisor, and put that in the answer.
- Multiply the divisor by that answer, put that below the dividend.
- Subtract to create a new dividend.
- Repeat.
The solution is the quotient plus the remainder divided by the divisor.
Given dividend:
Given divisor:
[tex]\large \begin{array}{r}2a+1\phantom{)}\\6a-3{\overline{\smash{\big)}\,12a^2\phantom{))..)))}-3\phantom{)}}}\\{-~\phantom{(}\underline{(12a^2-6a)\phantom{)))))}}\\6a-3\phantom{)}\\-~\phantom{()}\underline{(6a-3)\phantom{}}\\0\phantom{)}\\\end{array}[/tex]
Therefore, the quotient is 6a - 3.
