Question

How do you factor completely: `-2x^3 + 6x^2`?

Answer 1

`-2x^2(x-3)`

Explanation:

`-2x^3+6x^2`

To factor this, we have to see what is in common.

If you divide them both by `-2`, you will get `x^3 - 3x^2`. So now it becomes `-2(x^3-3x^2)`.

As you can see, we can still take out a `x^2`. So now the factored form is this:
`-2x^2(x-3)`

Hope this helps!