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Formula
Calculate the value
Use the synthetic division to find the quotient and the remainder
$\left( 3x ^{ 3 } -2x ^{ 2 } +4x-1 \right) \div \left( x ^{ 2 } +x-1 \right)$
$\dfrac { 3 x ^ { 3 } - 2 x ^ { 2 } + 4 x - 1 } { x ^ { 2 } + x - 1 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { 3 x ^ { 3 } - 2 x ^ { 2 } + 4 x - 1 } { x ^ { 2 } + x - 1 } }$
 Quotient $: 3 x - 5 \\$ Remainder $: 12 x - 6$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
 Divide $3 x ^ { 3 } - 2 x ^ { 2 } + 4 x - 1$ by $x ^ { 2 } + x - 1$ using the synthetic division 
 Quotient $: 3 x - 5 \\$ Remainder $: 12 x - 6$
Solution search results