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.

2 is the Greatest common factor . There is negative sign with x^2 so factor out -2

Find out two factors whose sum is +5 and product is -6

Sophie factored it correctly. Carol forgot to factor completely.

Carol can factor ( –4x + 2) by factoring out -2 from -4x+2

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