Question

Factor completely: −3x2 + 6x − 9

Answer 1

factor out the -3
(-3)(x^2-2x+3)

Answer 2

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

Explanation:

The given expression is

`-3x^2+6x-9`

The GCF of the expression is -3.

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

Now, let us see if we can further factor the expression
`(x^2-2x+3)` or not

the middle term is -2x

And we can't write the factor of 3 which gives -2 on addition/subtraction and 3 on multiplication

Hence, it is a prime expression.

Therefore, the factored form is

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