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Formula

Factorize the expression

Answer

$3x ^{ 2 } -4x-4$

$\left ( x - 2 \right ) \left ( 3 x + 2 \right )$

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

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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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