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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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$\left( -2x ^{ 3 } -4x ^{ 2 } +3x+1 \right) \div \left( x-1 \right)$
$- \dfrac { 2 x ^ { 3 } + 4 x ^ { 2 } - 3 x - 1 } { x - 1 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 x ^ { 3 } + 4 x ^ { 2 } - 3 x - 1 } { x - 1 } }$
$ $ Quotient $ : - 2 x ^ { 2 } - 6 x - 3 \\ $ Remainder $ : - 2$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Divide $ - 2 x ^ { 3 } - 4 x ^ { 2 } + 3 x + 1 $ by $ x - 1 $ using the synthetic division $ $
$ $ Quotient $ : - 2 x ^ { 2 } - 6 x - 3 \\ $ Remainder $ : - 2$
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