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Formula
Calculate the value
Answer
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Use the synthetic division to find the quotient and the remainder
Answer
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$\left( 2x ^{ 3 } -5x ^{ 2 } +6x-2 \right) \div \left( x ^{ 2 } -x+1 \right)$
$\dfrac { 2 x ^ { 3 } - 5 x ^ { 2 } + 6 x - 2 } { x ^ { 2 } - x + 1 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { 2 x ^ { 3 } - 5 x ^ { 2 } + 6 x - 2 } { x ^ { 2 } - x + 1 } }$
$ $ Quotient $ : 2 x - 3 \\ $ Remainder $ : x + 1$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Divide $ 2 x ^ { 3 } - 5 x ^ { 2 } + 6 x - 2 $ by $ x ^ { 2 } - x + 1 $ using the synthetic division $ $
$ $ Quotient $ : 2 x - 3 \\ $ Remainder $ : x + 1$
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