As an Algebra teacher, I do the following method to get them started: if all terms are positive, then the binomials will be a plus and plus. If the linear term alone is negative, then the binomials will be both include a minus. Anything else is a plus minus case. Hope this helps. This, of course, only applies when the coefficient of the quadratic term is 1.
I teach them when a = 1, take the negative of b, divide it by 2, put your [+,-] sq. rt. b^2, then the opposite of the c term. They can do this in their heads when a = 1 often. So, you -1/2 +,- sq. rt. of (1/4 +12). Inside the parentheses, 12 1/4 can be changed to improper 49/4, which when the radical sign is removed becomes 7/2. Now you have (-1 [+,-] 7)/2. Your factors will be -4 and 3. If the a term is not one, make it so by dividing everything out, and then following the routine. One might need paper for this one, but it's super quick. I always beat my Civil Engineering daughter and her friends by doing this vs. their doing the old "X is equal to negative b, plus or minus the square root ..." (quadratic formula) deal. I have a vid on it if you would like to share the concept with your viewing audience, TabletClass Math, thanks!
As an Algebra teacher, I do the following method to get them started: if all terms are positive, then the binomials will be a plus and plus. If the linear term alone is negative, then the binomials will be both include a minus. Anything else is a plus minus case. Hope this helps. This, of course, only applies when the coefficient of the quadratic term is 1.
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@@cooperyau5430 Hi Cooper!
I teach them when a = 1, take the negative of b, divide it by 2, put your [+,-] sq. rt. b^2, then the opposite of the c term.
They can do this in their heads when a = 1 often.
So, you -1/2 +,- sq. rt. of (1/4 +12). Inside the parentheses, 12 1/4 can be changed to improper 49/4, which when the radical sign is removed becomes 7/2. Now you have (-1 [+,-] 7)/2. Your factors will be -4 and 3.
If the a term is not one, make it so by dividing everything out, and then following the routine. One might need paper for this one, but it's super quick.
I always beat my Civil Engineering daughter and her friends by doing this vs. their doing the old "X is equal to negative b, plus or minus the square root ..." (quadratic formula) deal.
I have a vid on it if you would like to share the concept with your viewing audience, TabletClass Math, thanks!
This is my favorite subject during my highschool days:)
X=1
Please make videos more to the point. You are too wordy.
That is a matter of personal opinion. If you are new to the topic, you cannot have enough description of what's going on, me's thinks.