Question

Factor completely 3x3 + 3x2 − 18x.

3x(x + 3)(x + 2)
3x(x + 3)(x − 2)
3x(x − 3)(x + 2)
3x(x − 3)(x − 2)

Answer 1

3x(x − 3)(x − 2)hope this helps

Answer 2

Answer: The correct option is

(B)
`3x(x+3)(x-2).`

Step-by-step explanation: We are given to completely factor the following cubic expression :

`E=3x^3+3x^2-18x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

Since the given expression does not contain the constant term, so we will take out the x-term and then factorize the remaining quadratic expression.

The factorization of the given expression (i) is as follows :

`E\\\\=3x^3+3x^2-18x\\\\=3x(x^2+x-6)\\\\=3x(x^2+3x-2x-6)\\\\=3x(x(x+3)-2(x+3))\\\\=3x(x+3)(x-2).`

Thus, the complete factored form of the given expression is
`3x(x+3)(x-2).`

Option (B) is CORRECT.