Two students, carlos and sophie, factored the trinomial -4x² − 10x + 6. sophie factored it as -2(2x − 1)(x + 3) and carlos factored it as (x + 3)( -4x + 2). indicate which student factored the trinomial completely and which student did not, and explain why.

Sophie factored completely.

Carlos did not factor out a 2 out of his last term

Step-by-step explanation:

-4x² − 10x + 6

Sophie factored it as -2(2x − 1)(x + 3) and Carlos factored it as (x + 3)( -4x + 2).

If you look at the last term in  Carlos

(x + 3)( -4x + 2)

You can factor out a -2

(x+3) (-2)(2x-1)

It is not factored completely with the  negative two inside the parentheses

He could also have factored out a 2

(x+3) (2)(-2x+1)

I like having a positive x  so I use the -2

Either would be acceptable.

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