Question

Factor completely 3x3 + 12x2 + 18x.

Answer 1

Step-by-step explanation:

solved in the picture....

Answer 2

Answer:

The factored form of the given expression is $3x(x^2+4x+6)$.

Step-by-step explanation:

The given expression is

$3x^3+12x^2+18x$

we need to find the factored form of the given expression.

Taking GCF common, we get

$3x(x^2+4x+6)$

If a quadratic expression is defined as $ax^2+bx+c$ and

$b^2-4ac$, then the expression can not be factored further.

In the above parentheses the quadratic expression is $x^2+4x+6$,

$b^2-4ac=(4)^2-4(1)(6)=-8$

It means the quadratic expression is $x^2+4x+6$ can not be factored further.

Therefore the factored form of the given expression is $3x(x^2+4x+6)$.