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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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$\left( 2x ^{ 4 } +25x ^{ 3 } +4x+10 \right) \div \left( 2x+1 \right)$
$\dfrac { 2 x ^ { 4 } + 25 x ^ { 3 } + 4 x + 10 } { 2 x + 1 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ 25 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { 2 x ^ { 4 } + 25 x ^ { 3 } + 4 x + 10 } { 2 x + 1 } }$
$ $ Quotient $ : x ^ { 3 } + 12 x ^ { 2 } - 6 x + 5 \\ $ Remainder $ : 5$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ 25 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Divide $ 2 x ^ { 4 } + 25 x ^ { 3 } + 4 x + 10 $ by $ 2 x + 1 $ using the synthetic division $ $
$ $ Quotient $ : x ^ { 3 } + 12 x ^ { 2 } - 6 x + 5 \\ $ Remainder $ : 5$
Solution search results
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a) $\left(4x^{2}+x-3\right)\div \left(x-3\right)$ 
b) $\left(3x^{2}+4x-x^{4}-2x^{3}-4\right)\div \left(x+2\right)$ 
c) $\left(2x^{5}-2x^{3}+4x^{2}-3\right)\div \left(x+1\right)$ 
d) $\left(-x^{4}+2x^{5}-2x-3x^{2}+1\right)\div \left(x-2\right)$ 
e) $\left(2x^{3}+5x^{2}-4x-5\right)\div \left(2x+1\right)$
10th-13th grade
Geometry
search-thumbnail-Expand the binomial $\left(2x+1\right)^{4}$ 
$16x^{4}+32x^{3}+24x^{2}+8x+1$ 
$16x^{4}+8x^{3}+4x^{2}+2x+1$ 
$x^{4}+8x^{3}+24x^{2}+32x+16$ 
$x^{4}+4x^{3}+6x^{3}+4x+1$
10th-13th grade
Other
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