This is a blog for my second semester pre-calculus 30s students. Have a blast!

Wednesday, March 08, 2006

The Nature of Roots

THE NATURE OF ROOTS



Before I start talking about the nature of roots...Let's have a short review of what roots are and how can we get them.

Roots: are where the quadratic "crosses/touches" the x-axis. It's an x-intercept or zeroes.

We can get the roots by:
1.) factoring
2.) quadratic formula

3.) or completing the square.

Review link(video)

Okay, for those who didn't know that... Now you do ;)

and now to the...


The Sum and Product of Roots.


-When a (leading coefficient) is 1, the sum of the roots is the negative or opposite of b (coefficient of x).
-The product of the roots is c (constant term).

EXAMPLE:


b (coefficient of x) is (-6), it is the negative/opposite of the sum of the roots.
c (constant term) is (8), it is the product of the sum of the roots.

THE SUM OF THE ROOTS IS : -b/a

b (coefficient of x)
a (leading coefficient)


THE PRODUCT OF ROOTS IS: c/a

c (constant term)
a (leading coefficient)

EXAMPLE:


okay... this is it!

no exercise homework... just the worksheet handout on nature of roots =)

bye for now!

ANNNND the next scribe is....oliver.

1 Comments:

Blogger miles_23 said...

Great post... you were actually able to put a root sign...

:P... we have no Exercise for today....

7:24 PM

 

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