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. (15 points)
Carlos factored incorrectly because he didn't simplify the trinomial like Sophie did. They both will have the same answer, but Carlos needs to simplify before factoring.