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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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$\left( 2x ^{ 3 } -3x ^{ 2 } +3x+1 \right) \div \left( 2x-1 \right)$
$\dfrac { 2 x ^ { 3 } - 3 x ^ { 2 } + 3 x + 1 } { 2 x - 1 }$
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
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$23$ The equation whose roots are squares of the roots of $x^{4}+x^{3}+2x^{2}+x+1=0$ is 
$1\right)$ $x^{4}-3x^{3}+4x^{2}+3x+1=0$ $2\right)$ $x^{4}+3x^{3}+4x^{2}+3x+1=0$ 
$3\right)$ $x^{4}-3x^{3}-4x^{2}+3x+1=0$ $4\right)$ $x^{4}-3x^{3}-4x^{2}-3x+1=0$
10th-13th grade
Algebra
search-thumbnail-Jika $f\left(x\right)=x^{2}-x+2$ dan $g\left(x\right)=2x^{2}+x-1$ 
maka $f\left(x\right).g\left(x\right)$ adalah ... 
A. $2x^{5}-x^{4}+3x^{3}-3x^{2}+3x-2$ 2 
B. $2x^{5}-x^{4}-3x^{3}+3x^{2}-3x+2$ 
C. $2x^{5}+x^{4}-3x^{3}-3x^{2}+3x+2$ 
D.2x5 $2x^{5}+x^{4}-3x^{3}+3x^{2}+3x-2$ 
E. $2x^{5}+x^{4}+3x^{3}-3x^{2}+3x-2$
10th-13th grade
Trigonometry
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