# Factor each polynomial completely. If the polynomial cannot be factored,

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
$3{y}^{3}-18{y}^{2}-48y$
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Step 1
The given polynomial is,
$3{y}^{3}-18{y}^{2}-48y$
Taking 3y common from all the terms of the polynomial, we get
$3{y}^{3}-18{y}^{2}-48y=3y\left({y}^{2}-6y-16\right)$
Step 2
On factorizing the terms, we get
$3y\left({y}^{2}-6y-16\right)=3y\left({y}^{2}-8y+2y-16\right)$
=3y[y(y-8)+2(y-8)]
=3y(y+2)(y-8)
Therefore, the factorized form of the given polynomial is 3y(y+2)(y-8)
###### Did you like this example?
hysgubwyri3
$y\left(3{y}^{2}-18y-48\right)$
$3y\left({y}^{2}-6y-16\right)$
=3y(y-8)(y+2)