Friday, September 26, 2014

•´¯`•» zeroeѕ oғ a ғυncтιon «•´¯`•

Oh, welcome back to Mathland, dear guests.
I hope you have not missed it too much!~

Today, we will be journeying to the White Queen's domain for a quick visit. On our way their, we will be discussing the zeros of a function.

Please do not get lost now.

Let us begin.~

Through the uses of synthetic and long division, we are able to derive the zeros of a function. First, you would plug the zero into the function given and if there is no remainder, than it means that the equation does indeed work. 
To find the zero of a factor - for example (x-3) - one must first set the equation equal to a zero and then either subtract or add determining on the sign it was previously.To clarify any confusion....

and


This indicates that once you plug in a zero to the function, the answer that come out will be the zero of the function.
However, when using long and and synthetic division, if a remainder appears once it is divided, then it indicates that the equation does not work. 
The significance of the zeros is that they are incorporated into almost every aspect of math.
Hmm...I believe that is enough for today.~
Well, it seems that we have arrived at her Highness's court.~
Oh my, it seems that the Queen is up to her mischievous cooking once again.
Good bye for now.~


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