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Formula
Calculate the value
Use the synthetic division to find the quotient and the remainder
$x ^{ 10 } \div \left( x-1 \right)$
$\dfrac { x ^ { 10 } } { x - 1 }$
Arrange the rational expression
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 10 } } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { x ^ { 10 } } { x - 1 } }$
 Quotient $: x ^ { 9 } + x ^ { 8 } + x ^ { 7 } + x ^ { 6 } + x ^ { 5 } + x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1 \\$ Remainder $: 1$
Use the synthetic division to find the quotient and the remainder
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 10 } } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
 Divide $x ^ { 10 }$ by $x - 1$ using the synthetic division 
 Quotient $: x ^ { 9 } + x ^ { 8 } + x ^ { 7 } + x ^ { 6 } + x ^ { 5 } + x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1 \\$ Remainder $: 1$
Solution search results