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Calculate the value
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Use the synthetic division to find the quotient and the remainder
Answer
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$\dfrac { 3 x ^ { 2 } + 11 x + 8 } { x + 2 }$
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 $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 } } { \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } }$
$Quotient: 3 x + 5 \\ Remainder: - 2$
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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