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Formula
Factorize the expression
Answer
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$x ^{ 3 } +4x ^{ 2 } -9x-36$
$\left ( x - 3 \right ) \left ( x + 3 \right ) \left ( x + 4 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 36 }$
$ $ Do factorization $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \right )$
$\left ( x - 3 \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \right )$
$ $ Use the factoring formula, $ x^{2} + \left(a+b\right)x + ab = \left(x+a\right)\left(x+b\right)$
$\left ( x - 3 \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
$\left ( x - 3 \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
$ $ Sort the factors $ $
$\left ( x - 3 \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right )$
Solution search results
search-thumbnail-Polynomials 
EXAMPLE $5.$ Find the zeroes of the polynomial $f\left(x\right)=x^{3}+4x^{2}-9x-36$ $ftw$ two o 
zeroes are equal in magnitude but opposite in sign.
10th-13th grade
Other
search-thumbnail-$\dfrac {x^{3}+4x^{2}-9x-3} {4x^{2}+28x+48}^{6}$
10th-13th grade
Algebra
search-thumbnail-$L=$ $121$ 
$93$ Divide the polynomial: 
$6x^{5}+4x^{4}-27x^{3}-7x^{2}-27x-6by$ $2x^{2}-3:$ 
b. $3x^{3}+4x^{2}-8x-\dfrac {1} {2}$ 
a. $3x^{3}+2x^{2}-9x-\dfrac {1} {2}$ $4x^{3}+5x^{2}-9x-\dfrac {1} {2}$ d. None 
c.
10th-13th grade
Other
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