Answer:
The factored form of the given expression is
.
Step-by-step explanation:
The given expression is
![3x^3+12x^2+18x](https://tex.z-dn.net/?f=3x%5E3%2B12x%5E2%2B18x)
we need to find the factored form of the given expression.
Taking GCF common, we get
![3x(x^2+4x+6)](https://tex.z-dn.net/?f=3x%28x%5E2%2B4x%2B6%29)
If a quadratic expression is defined as
and
, then the expression can not be factored further.
In the above parentheses the quadratic expression is
,
![b^2-4ac=(4)^2-4(1)(6)=-8](https://tex.z-dn.net/?f=b%5E2-4ac%3D%284%29%5E2-4%281%29%286%29%3D-8%3C0)
It means the quadratic expression is
can not be factored further.
Therefore the factored form of the given expression is
.