# Factor each of the algebraic expressions completely. 3x^{4}+81x

Factor each of the algebraic expressions completely. $3{x}^{4}+81x$
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Durst37
Step 1
To do factor of the algebraic expressions:
$3{x}^{4}+81x$
Step 2
Factor of $3{x}^{4}+81x$
$=x\left(3{x}^{3}+81\right)$
$=x.3.\left({x}^{3}+27\right)$
$=3x\left({x}^{3}+27\right)$
$=3x\left({x}^{3}+33\right)$
$=3x\left(x+3\right)\left({x}^{2}-x.3+32\right)$
$=3x\left(x+3\right)\left({x}^{2}-3x+9\right)$
Step 3
Factor of $3{x}^{4}+81x=3x\left(x+3\right)\left({x}^{2}-3x+9\right)$
###### Not exactly what you’re looking for?
Ella Williams
$3{x}^{4}+81x$
$3\left({x}^{4}+27x\right)$
$3x\left({x}^{3}+27\right)$
$3x\left(x+3\right)\left({x}^{2}-3x+9\right)$
###### Not exactly what you’re looking for?
RizerMix

$3{x}^{4}+81x$
Simple factor
$3\left({x}^{4}+27x\right)$
Find the multiplier
$3x\left({x}^{3}+27\right)$
Find the multiplier
$3x\left(x+3\right)\left({x}^{2}-3x+9\right)$