Factoring QuadraticsYou are currentlynot logged in Click here to log in 

How do people teach factoring a quadratic equation?
What are the different methods used?
That gives us $(x+6)^2=x^2+12x+36,$ which is too big by 9. That's the square of the amount that a is the wrong thing to use. The square root of 9 is 3. That means we should use a+3 and a3, which is 6+3 and 63, 9 and 3.
Diagrams to follow if someone asks.
This method can even lead to the standard formula. Writing that slightly differently than usual, the solutions are a+e and ae, where a is half the coefficient of x and e is the square root of the error. If the error is negative you have no real solutions.
Other ideas?
(none)  (none)  (none)  
(none)  (none)  
⇌ 
You are hereFactoringQuadratics 

SquareRoot  
(none)  (none)  CoDomainOfAFunction ComplexNumber DomainOfAFunction Function ImageOfAFunction ImaginaryNumber RealNumber RiemannSurface Root 
Last change to this page Full Page history Links to this page 
Edit this page (with sufficient authority) Change password 
Recent changes All pages Search 