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Formula
Calculate the value
Answer
Use the synthetic division to find the quotient and the remainder
Answer
$\left( 2x ^{ 3 } -3x ^{ 2 } +3x+1 \right) \div \left( 2x-1 \right)$
$\dfrac { 2 x ^ { 3 } - 3 x ^ { 2 } + 3 x + 1 } { 2 x - 1 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { 2 x ^ { 3 } - 3 x ^ { 2 } + 3 x + 1 } { 2 x - 1 } }$
 Quotient $: x ^ { 2 } - x + 1 \\$ Remainder $: 2$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
 Divide $2 x ^ { 3 } - 3 x ^ { 2 } + 3 x + 1$ by $2 x - 1$ using the synthetic division 
 Quotient $: x ^ { 2 } - x + 1 \\$ Remainder $: 2$
Solution search results
10th-13th grade
Algebra
10th-13th grade
Trigonometry
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