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Formula
Calculate the value
Use the synthetic division to find the quotient and the remainder
$\left( 3x ^{ 2 } +11x+8 \right) \div \left( x+2 \right)$
$\dfrac { 3 x ^ { 2 } + 11 x + 8 } { x + 2 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right )$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { 3 x ^ { 2 } + 11 x + 8 } { x + 2 } }$
 Quotient $: 3 x + 5 \\$ Remainder $: - 2$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right )$
 Divide $3 x ^ { 2 } + 11 x + 8$ by $x + 2$ using the synthetic division 
 Quotient $: 3 x + 5 \\$ Remainder $: - 2$
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