3x^2+17x+10
Factor completely. I feel like i no how to do this but i just want some help please

Question

3x^2+17x+10
Factor completely. I feel like i no how to do this but i just want some help please

anonymous · Answer

Okay iw ont but can you also help me with the other problems i have to please?

sh3lsh · Answer

WAIIITTT!

sh3lsh · Answer

ahhhh!

anonymous · Answer

i didnt do that.....i swear i didnt

anonymous · Answer

its been doing that o all my questions. i didnt do it i swear!!

sh3lsh · Answer

well 3, that's a prime number, ergo there is only one thing that can go in the first blanks. 3 and 1. do you see the signs, both of them are addition. Therefore, it HAS to be to addition signs. we have this now (3x + ?)(x+?) lets look at the last term. 10? hmmm. lets try numbers! What multiplies to give us a 10? well 5 and 2 works! lets see if that fits. (3x+5)(x+2) this gives us 3x^2 +5x+6x+10 mehh. This isn't what we want! lets try re-arranging the 5 and 2! (3x+2)(x+5) 3x^2+2x+15x+10 this gives us 17x in the middle. This is what we want.

anonymous · Answer

okay can you show me with out all the words? that just confuses me even more...

sh3lsh · Answer

just read it as if someone's talking to you!

anonymous · Answer

i understand that the two factors are...just dont understand that...i need visual not words..

sh3lsh · Answer

do you know how i got the 3? and the addition signs?

anonymous · Answer

No not really...urg thanks for the help...ill try working it out by myself,

anonymous · Answer

i dont under stand words better then i understand visuals. the words confused me even more. Im lost and dont know how you got anything

sh3lsh · Answer

we got the 3 by this. 3 is prime
no other number can be 3 only 3 and 1 
so first two numbers are 3 and 1. 
(3x)(x)
there are all addition signs, so everything has addition signs. 
(3x + ?) (x+ ?)
10? what are the factors? 5*2, 2*5, 1*10, 10*1 (this is what multiplies to get 10)
try these numbers as the last number in each parenthesis. 
(3x + 5) (x + 2) Huh? this doesn't work
(3x + 2) (x + 5) Yes! this does work. 
You could do (3x + 1) (3x+ 10) but we've already found the answer. 
This is the guess and check method. Ask your teacher about "some method where you multiply the 3, by 10" (Show him/her this problem)

anonymous · Answer

2 + 5 does not = 17 so thats wrong

sh3lsh · Answer

FOIL? first outer inner last?

sh3lsh · Answer

http://www.algebrahelp.com/lessons/simplifying/foilmethod/pg2.htm