Question

3n^3-12n^2-30n factor out gcf

Answer 1

Answer: 3n

Explanation:

3n^3-12n^2-30n

First factor: 3

n^3-4n^2-10n

Second factor: n

n^2-4n-10

Answer 2

Explanation:

To factor out the Greatest Common Factor (GCF) from the expression 3n^3 - 12n^2 - 30n, we can find the common factors of the coefficients and variables.

First, let's look at the coefficients: 3, -12, and -30. The GCF of these numbers is 3.

Next, let's consider the variable "n". It appears in each term with a power of 1, so the GCF of the variable is n.

Now, we can factor out the GCF:

GCF: 3n

Dividing each term by the GCF, we get:

(3n) * (n^2 - 4n - 10)

Therefore, the factored form of the expression 3n^3 - 12n^2 - 30n, after factoring out the GCF, is 3n(n^2 - 4n - 10).