# Calculator search results

Formula
Calculate the value
Use the synthetic division to find the quotient and the remainder
$\left( a ^{ 2 } -3a \right) \div \dfrac{ a }{ 2 }$
$2 a - 6$
Arrange the rational expression
$\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { a } { 2 } }$
 Calculate the multiplication expression 
$\color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
 Quotient $: 2 a - 6 \\$ Remainder $: 0$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { a } { 2 } }$
 Divide $a ^ { 2 } - 3 a$ by $\dfrac { a } { 2 }$ using the synthetic division 
 Quotient $: 2 a - 6 \\$ Remainder $: 0$
Solution search results
The text passage contains a mathematical problem involving the division of a polynomial by a monomial, and it provides the quotient and remainder of the division.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Calculator search results

Formula
Calculate the value
Use the synthetic division to find the quotient and the remainder
$\left( a ^{ 2 } -3a \right) \div \dfrac{ a }{ 2 }$
$2 a - 6$
Arrange the rational expression
$\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { a } { 2 } }$
 Calculate the multiplication expression 
$\color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
 Quotient $: 2 a - 6 \\$ Remainder $: 0$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { a } { 2 } }$
 Divide $a ^ { 2 } - 3 a$ by $\dfrac { a } { 2 }$ using the synthetic division 
 Quotient $: 2 a - 6 \\$ Remainder $: 0$
Solution search results
user
The text passage contains a mathematical problem involving the division of a polynomial by a monomial, and it provides the quotient and remainder of the division.

TYPE: SINGLE_QUESTION_WITH_ANSWER