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Calculate the value
Answer
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Use the synthetic division to find the quotient and the remainder
Answer
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$x ^{ 10 } \div \left( x-1 \right)$
$\dfrac { x ^ { 10 } } { x - 1 }$
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$
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