SOLUTION: I am confused when it comes to the different ways of factoring in Algebra 2. I understand algebraic way but when it comes to completing the square, it gets confusing! I have a EOC

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Question 819928: I am confused when it comes to the different ways of factoring in Algebra 2. I understand algebraic way but when it comes to completing the square, it gets confusing! I have a EOC coming up and the topic of factoring and solving is driving me crazy!!!
Found 2 solutions by richwmiller, ewatrrr:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
This is not the place for a lesson. Send me a sample problem and we can work it out together.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

completing Square

y+=+ax%5E2+%2B+bx+%2B+c   Find: s = green%28%28-b%2F%282a%29%29%29

Then:

y = a%28x+-+s+%29%5E2+-+a%2As%5E2+%2B+c

for ex:

y+=+ax%5E2+%2B+bx+%2B+c  Find: s = green%28%28-b%2F%282a%29%29%29

 y = 2x^2 + 20x + 3            s = green%28-%2820%2F%284%29%29%29+=+highlight%28-5%29 

  y = a%28x+-+s+%29%5E2+-+a%2As%5E2+%2B+c

 y= 2(x + 5)^2 -2(25) + 3

 y=highlight%28+2%28x+%2B+5%29%5E2+-+47%29

for ex:

 y = -2x^2 + 20x + 3         s = green%28-%2820%2F%28-2%29%29%29+=+highlight%285%29 

y = a%28x+-+s+%29%5E2+-+a%2As%5E2+%2B+c

 y = -2(x - 5)^2 - (-2)25 + 3

 y = -2(x - 5)^2 + 50 + 3

 y =+highlight%28+-2%28x+-+5%29%5E2+%2B+53%29