Question

Factor completely 3x3 + 12x2 + 18x.

Answer 1

Explanation:

solved in the picture....

Answer 2

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

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<0`, 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<0`

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)`.