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Formula
Factorize the expression
Answer
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$2x ^{ 3 } -3x ^{ 2 } -2x+3$
$\left ( x - 1 \right ) \left ( x + 1 \right ) \left ( 2 x - 3 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 }$
$ $ Do factorization $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
$\left ( x - 1 \right ) \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
$ $ Use the factoring formula, $ acx^{2} + \left(ad + bc\right)x + bd = \left(ax+b\right)\left(cx+d\right)$
$\left ( x - 1 \right ) \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
$\left ( x - 1 \right ) \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( 2 x - 3 \right )$
$ $ Expand the expression $ $
$\left ( x - 1 \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( 2 x - 3 \right )$
Solution search results
search-thumbnail-Randy divides $\left(2x^{4}-3x^{3}-3x^{2}+7x-3\right)by\left(x^{2}-2x+1$ as shown below. What error does Randy make? 
$2$ $x^{2}-2x+1\longdiv{2x^{4}-3x^{3}-3x^{2}+7x-}^{3}$ $3$ 
$2x^{4}-4x^{3}+2x^{2}$ $-$ $x^{3}-5x^{2}+7\times $ 
$x^{3}-2x^{2}+\times $ $-$ 
$-3x^{2}+8x-3$ 
$-3x^{2}+8x-3$ 
$0$
10th-13th grade
Algebra
search-thumbnail-$1$ $x^{3}$ Synthctic Divison 
$x^{3}-5x+3x-9-x-3$ 
$2$ $x^{3}-x^{2}-y+5\div x+2$ 
$\left(3\right)$ $2x^{3}-3x^{2}-2x+7\div x+1$ 
$2x^{3}-4x^{2}+3x+1$ $x-3$ 
$5$ $x^{4}-2x^{3}+x^{2}-3x^{+5\div x+1}$
10th-13th grade
Calculus
search-thumbnail-Synthctic Divison 
$①$ @ $x^{3}$ $5x+3x-9\div x-3$ 5. 
20 
$②$ $x^{3}-x^{2}-y+5\div x+2$ 
$3$ $2x^{3}-3x^{2}-2x+7\div x+1$ 
$2x^{3}-4x^{2}+3x+1\div x-3$ 
$x^{4}-2x^{3}+x^{2}-3x^{+5\div x+1}$ 
$⑤$ $\times 4-2x^{3}$
10th-13th grade
Calculus
search-thumbnail-$5.$ Factorise: 
$\left(1\right)$ $x^{3}-2x^{2}-x+2$ $\left(i\right)$ $x^{3}-3x^{2}-9x-5$ 
$\left(1\right)$ $x^{3}+13x^{2}+32x+20$ $\left(iy\right)$ $2y^{3}+y^{2}-2y-1$
7th-9th grade
Algebra
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