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Formula
Factorize the expression
Answer
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$3x ^{ 2 } -4x-4$
$\left ( x - 2 \right ) \left ( 3 x + 2 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$ $ Use the factoring formula, $ acx^{2} + \left(ad + bc\right)x + bd = \left(ax+b\right)\left(cx+d\right)$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$\left ( 3 x + 2 \right ) \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$ $ Expand the expression $ $
$\left ( 3 x + 2 \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$ $ Sort the factors $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right )$
Solution search results
search-thumbnail-$4.$ Which of the expressions will give a quotient of $3x^{2}-x-27$ 
A. $\left(3x^{3}-5x^{2}-4x-4\right)$ $\div \left(x-2\right)$ – 
B. $\left(3x^{3}+5x^{2}-4x-4\right)$ $\div \left(x-2\right)$ 
C. $\left(3x^{3}-5x^{2}-4x-4\right)$ $\div \left(x+2\right)$ 
D. $\left(3x^{3}+5x^{2}-4x-4\right)$ $\div \left(x+2\right)$
1st-6th grade
Other
search-thumbnail-$2.$ $\dfrac {x^{2}+4x+4} {2x^{2}+2x-4}\div \dfrac {3x^{2}-12} {3x^{2}-4x+1}$
7th-9th grade
Algebra
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