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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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$\dfrac { x ^ { 2 } + x } { x - 1 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } } { \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } }$
$Quotient: x + 2 \\ Remainder: 2$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Divide $ x ^ { 2 } + x $ by $ x - 1 $ using the synthetic division $ $
$Quotient: x + 2 \\ Remainder: 2$
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