Factor. Then check by multiplying the factors. If the polynomial is not factorable, then choose "prime" as your answer.
( ^ = to the power of )
w^2 + 20wm + 96m^2
it can be
(w + 8m)(w + 12m)
or
(w + 4m)(w + 24m)
or
(w + 6m)(w + 16m)
or
prime
2007-12-19 10:13:52 · 7 answers · asked by Jen C 1 in Science & Mathematics ➔ Mathematics
(w+8m)(w+12m)
2007-12-19 10:17:56 · answer #1 · answered by Anonymous · 2⤊ 0⤋
We have this trinomial:
w^2 + 20wm + 96m^2....There is a typo here. The middle term should be 20m NOT 20wm.
We are told to factor this trinomial.
What two numbers multiplied together produce 96 but when added produce 20?
Well, 12 times 8 = 96 and 12 + 8 = 20.
We found our numbers.
Final answer: (w + 8m) (w + 12m)
2007-12-19 10:26:52 · answer #2 · answered by Anonymous · 0⤊ 0⤋
well what two numbers add up to 20 and multiply to give you 96. So you do it and it is 8 and 12. So yes your answer is (w+8m)(w+12m)
2007-12-19 10:20:29 · answer #3 · answered by rcds23 6 · 0⤊ 0⤋
w^2+20wm+96m^2
(w+8m)(w+12m) definitely
2007-12-19 10:19:10 · answer #4 · answered by Dave aka Spider Monkey 7 · 1⤊ 0⤋
8+12=20
24+4=28
6+16=22
(w*w)+(w*12m+8mw)+(8m*12m)=w^2+20wm+96m^2
2007-12-19 10:36:15 · answer #5 · answered by djental 2 · 0⤊ 0⤋
it would be the first one (w+8m)(w+12m)
2007-12-19 10:19:10 · answer #6 · answered by deathgod197 3 · 1⤊ 0⤋
use foil
w*w=w^2
w*12m=12wm
8m*w=8wm
8m*12m=96m^2
w^2+12wm+8wm+96m^2
w^2+20wm+96^2
2007-12-19 10:23:32 · answer #7 · answered by jabetz1222 4 · 0⤊ 0⤋