How do you factor trinomials in the form ax^2 + bx + c ?

Question

pooja195 · Answer

Hi welcome to openstudy :-) 
For example we can have something like
x^2+2x+1
ax^2+bx+c
To factor it we would use this: 
|dw:1450387520774:dw|
|dw:1450387407567:dw|
Ask yourself, What numbers can we multiply by 1 get 1 but add to make 2? 
we see that 1 * 1=1
1+1=2
so it works and we would get an answer of 
(x+1)(x+1)

anonymous · Answer

Thank You!

pooja195 · Answer

yw ^_^ 
Do you understand? Would you like to practice one?

anonymous · Answer

Sure :-)

pooja195 · Answer

Ok try this
x^2+4x+2

anonymous · Answer

Ummm... (x+2)(x+4)?

pooja195 · Answer

i gave u one that doesnt factor ok 
x^2+10x+16

anonymous · Answer

Okay cool

pooja195 · Answer

Make sure you show me your work so i can guide you through and correct any mistakes

anonymous · Answer

Okay.
So |dw:1450388235785:dw||dw:1450388299582:dw| So (x+8)(x+2)?

pooja195 · Answer

Yes! That's perfect! Well done :')

anonymous · Answer

awesome! Thank You soooooooo much!

pooja195 · Answer

yw^_^
I hope you enjoy your time on this site! :)

anonymous · Answer

I will! Thanks again!

pooja195 · Answer

yw :)

crabbyoldgamer · Answer

This video explains a simple process for factoring those quadratics: https://www.youtube.com/watch?v=Y9zyVCyKno8