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

3/6   and 9/18

step-by-step explanation:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10