To find: The number of maximum points of intersection between the graphs of a quartic and a quantic polynomial function.
The maximum points of intersection are FIVE.
Given information: It is given that any odd degree polynomial equation with real coefficient is present.
Explanation:
Consider the equation
The roots of this equation are the
Therefore, the number of points of intersection between the curves
Let
Then the equation
The number of points of intersection between the curves representing the quantic and quartic polynomial are the number of roots of the equation
By fundamental theorem of algebra, the maximum number of roots for a quantic polynomial is 5.
The maximum of points of intersection between the curves can be FIVE.
Example:
  
  
  
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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