Question

2. Stacey is factoring the expression, 12x^2-4x. After factoring completely, Stacey got 4x(3x-1). How can she check to see if she factored correctly? Explain and show work to support your explanation

Answer 1

She is correct!
Explanation:

She would check if it is correct by doing this.

You would factor out 4.

`4 (3x^(2) - x )`
Then you would consider
`3x^(2) -x`. Factor out
`x`.

`x (3x-1)`
Then rewrite the complete factored expression.

`4x(3x-1)`

Therefore, Stacey is correct.
Hope this helps! :))

Answer 2

She can check that by expanding the factored equation, if she gets the original expression, then the factoring is correct

`4x(3x-1)=12x^2-4x`