What does it mean zeros of order 2 or of order 3? (Grade 12 Math and best answer will be given)
Favorites|Homepage
Subscriptions | sitemap
HOME > > What does it mean zeros of order 2 or of order 3? (Grade 12 Math and best answer will be given)

What does it mean zeros of order 2 or of order 3? (Grade 12 Math and best answer will be given)

[From: ] [author: ] [Date: 12-09-13] [Hit: ]
the graph touches the x-axis there, with a local minimum or a maximum.......
So there are graphs on my page, and the textbook is asking
"Explain wether the graph might represent a polynomial function that has zeros of order 2 or of order 3."

What are they asking there?

-
In the factorization of a polynomial, a zero of order n would be represented n times. Here is an example:

p(x) = (x - 4)(x - 7)²(x + 1)³

The zeros are 4, 7, and -1. The 7 is of order 2 and the -1 is of order 3. If the order of a root is greater than one, then the graph of y = p(x) is tangent to the x-axis at that value.

Edit:
I should add that if the zero has an odd order, the graph crosses the x-axis at that value. If the zero has an even order, the graph touches the x-axis there, with a local minimum or a maximum.
1
keywords: Grade,does,mean,be,and,What,will,12,it,of,given,Math,answer,best,order,zeros,or,What does it mean zeros of order 2 or of order 3? (Grade 12 Math and best answer will be given)
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .