this is probably easy for everyone
i was wondering how to factor this expression:
2x[squared] + 5x + 3
can you explain how you got your awnser too?
2007-01-08 11:09:39 · 6 answers · asked by boyssuck 1 in Education & Reference ➔ Homework Help
NEVER guess and check. I dont really know how to do it, but I can ask my dad and come back...
2007-01-08 11:20:49 · answer #1 · answered by Anonymous · 1⤊ 0⤋
Seeing 2 in front of the x squared term means that if it factors cleanly thenthe factorization is going to have the form (2x + A)(x + B).
Since the last term is 3 A*B must be 3, so A is +1 and B is +3, or the other way around, or they're both negative.
If they were both negative the middle term would have to be negative, too, so that can't be right.
So first I might try A = 1 and B = 3. That'll get you the right first term and the right last term, but the middle term will come out to 7x (2x * 3 + x * 1).
Next, try A = 3 and B = 1. That gets all the terms correct. So the final answer is
2x[squared] + 5x + 3 = (2x + 3)(x + 1).
2007-01-08 11:26:22 · answer #2 · answered by ctmorling 1 · 0⤊ 0⤋
you look for the factors of 3 that add up to 5 when one of them is multiplied by two. You really just have to recognize this one as
(2x + 3)(x + 1)
then you FOIL to check it.
2007-01-08 11:20:09 · answer #3 · answered by Anonymous · 1⤊ 0⤋
(2x+3)(x+1) is NOT complete, set 2x+3=0
2x=-3
x=-3/2
this gives you the other x intercept.
2007-01-08 11:24:39 · answer #4 · answered by Anonymous · 0⤊ 0⤋
(2x + 3) (x + 1)
u kinda gotta guess and check
2007-01-08 11:12:36 · answer #5 · answered by ¥¥Z 4 · 0⤊ 1⤋
?
2007-01-08 11:11:40 · answer #6 · answered by zarina s 1 · 0⤊ 0⤋