Two students, tony and mike, factored the trinomial 8x2 − 12x − 8. tony factored it as 4(x − 2)(2x + 1) and mike factored it as (x − 2)(8x + 4). indicate which student factored the trinomial completely and which student did not, and explain why. (10 points)

Tony and Mike, factored the trinomial

Tony factored it as 4(x - 2)(2x + 1) and

Mike factored it as (x - 2)(8x + 4)

GCF is 4. We factor out 4

2*-2=-4. We find out two factors whose product is -4  and sum is -3

two factors are -4  and 1. Split middle term -3x using two factors

Group first two terms and last two terms

Factor out GCF from each group

4(2x+1)(x-2)

Tony factored it correctly

Mike factored it as (x − 2)(8x + 4)

Mike factor 8x+4 further. GCF of 8 and 4 is 4

So it becomes 4(2x+1)

Mike not factored it completely

i got 10.28 but that rounds up to 10.3