Two students, Ann and Max, factored the trinomial `3x^2 -24x-27`. Ann factored it as 3(x+1)(x−9) and Max factored it as (3x+3)(x−9). Indicate which student factored the trinomial completely and which student did not, and explain why.
Let's start studying case by case:  Ann:  3x ^ 2 -24x-27  3 (x ^ 2 -8x-9)  3 (x + 1) (x-9)  Note:  (1) * (- 9) = - 9  (1) + (- 9) = - 8  check:  3 (x ^ 2-9x + x-9)  3 (x ^ 2-8x-9)  3x ^ 2-24x-27  She did it correctly.   Max  3x ^ 2 -24x-27  (3x + 3) (x-9)  note:  (3) * (- 9) = - 27  (3) + (- 9) = - 6 (incorrect: the result must be -24)
