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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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$\left( 3x ^{ 3 } -2x ^{ 2 } +4x-1 \right) \div \left( x ^{ 2 } +x-1 \right)$
$\dfrac { 3 x ^ { 3 } - 2 x ^ { 2 } + 4 x - 1 } { x ^ { 2 } + x - 1 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { 3 x ^ { 3 } - 2 x ^ { 2 } + 4 x - 1 } { x ^ { 2 } + x - 1 } }$
$ $ Quotient $ : 3 x - 5 \\ $ Remainder $ : 12 x - 6$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Divide $ 3 x ^ { 3 } - 2 x ^ { 2 } + 4 x - 1 $ by $ x ^ { 2 } + x - 1 $ using the synthetic division $ $
$ $ Quotient $ : 3 x - 5 \\ $ Remainder $ : 12 x - 6$
Solution search results
search-thumbnail-$5.$ By how much should $3x^{3}-2x^{2}+5x+1$ be increased to get $x^{3}-2x^{2}+4x-13$ 
$a$ $-2x^{3}+x-2$ b. $-2x^{3}-x-2$ c. $-2x^{3}-x+2$ d. $2x^{3}+x+2$
1st-6th grade
Algebra
search-thumbnail-If the sum of two consecutive 
numbers is $45$ and one number is $X$ 
.This statement in the form of 
equation $1s:$ 
$\left(1$ Point) $\right)$ 
$○5x+1$ $1eft\left(x+1$ $r1gnt\right)=45s$ 
$○sx+1ef\left(x+2$ $r1gnt\right)=145s$ 
$sx+1x=45s$
7th-9th grade
Algebra
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