Quadratic equations with none, one or two factors

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Edit   Delete - Last Modified By: BJO at 8/11/2013 3:01:28 PM

Expanding two sets of brackets

Edit   Delete - Last Modified By: BJO at 10/11/2013 10:08:20 AM
Here's a link to a Khan Academy video that describes the discriminant:
Edit   Delete - Last Modified By: BJO at 10/11/2013 10:14:12 AM
Here's a link to a site that explains the discriminant in more detail, and makes a link to how the graph of a quadratic can be predicted by it.
Edit   Delete - Last Modified By: dsi at 13/12/2013 9:43:00 AM
Edit   Delete - Last Modified By: BJO at 10/11/2013 10:39:52 AM

Please complete ALL of the MangaHigh challenges that have been set so far in this series.

  • Factorise quadratics in form x2 + bx + c
  • Factorise quadratics in form ax2 + bx + c
  • completing the square
  • [use the completed square]
  • solve quadratics by using the quadratic formula

Log in to Manga High  (www.mangahigh.com) and go to 'mytodolist' tab. 

Log in to mangahigh

 

Edit   Delete - Last Modified By: BJO at 8/11/2013 3:04:11 PM
To learn more about the disciminant of a quadratic (or even of higher order functions, like cubics, e.g.  x3), have a look at the following wiki page:
Edit   Delete - Last Modified By: BJO at 8/11/2013 3:06:25 PM
It's well worth having a look at the roots definition in the above webpage.  Here's the link again:
Edit   Delete - Last Modified By: BJO at 10/11/2013 10:47:31 AM
You might like to read worked example 21 (WE21) in chapter 4 of the Mathsquest 10 (MQ10) text book.  Also, you could try Exercise 4I in the MQ10 text book.  I recommend that you attempt ALL of the questions (as it is good practice!)
Edit   Delete - Last Modified By: BJO at 12/11/2013 9:47:15 AM
The following link goes to a document that is the basis of the in-class lesson.