Question

Factor completely −3x2 + 6x − 9.

−3(x2 − 2x + 3)

−1(x2 − 6x + 9)

−3x(x2 − 2x + 3)

−3(x2 + 2x − 3)

Answer 1

−3(x2 − 2x + 3).

Explanation:

Given the equation:

−3x2 + 6x − 9

-3x2

Factors:

= 1, 3

+6x

Factors:

= 1, 2, 3

-9

Factors:

= 1, 3, 3

The common factor in the 3 terms are, 1 and 3.

Therefore,

= 3(−x2 + 2x − 3)

= -3(x2 - 2x + 3)

Answer 2

Answer:-3(
`x{2}-2x+3`)

Explanation:

`-3x{2}+6x-9`

firstly we should find the common factor between
`-3x{2}` , 6x and -9, the common between them is -3

-3(
`x{2}-2x+3`)

and (
`x{2}-2x+3`) cannot factorize

-