Finding the Zeros of Polynomial Functions

Tutoring on Finding the Zeros of Polynomial Functions

Learning Objectives:

Understand to Find the Zeros of Polynomial Functions

Math Tutoring on Finding the Zeros of Polynomial Functions

Let us find the connections among the real rational zeros, the factors and the graphs of polynomial functions. 

To begin, let us assume we have a polynomial function of degree n,    

http://www.math.brown.edu/UTRA/polynomials/image001.gif      

and c is a real number such that f(c) = 0. So if we substitute the value of c into the function, the function value is zero. So we say,

1. The real number c is a zero or root of the polynomial function f(x).     

2.  x = c is a solution to the equation f(x) = 0.      

3. The quantity (x – c) is a factor of the polynomial function f(x). 

4. The point (c, 0) is an x intercept of the graph of the polynomial function f(x). 

Also a polynomial function of degree n with complex coefficients in the form 

http://www.math.brown.edu/UTRA/polynomials/image001.gif

 has exactly n complex zeros, counting multiplicity. This is the Complex Factorization Theorem.  

 

 

Learn ‘Finding the Zeros of Polynomial Functions’ with AffordEdu.

Interested in free assessment? Build your personalized study plan with AffordEdu through knowledge map and go for free assessment and free tuition session with math expert. *

 

 

Hook Questions:

1.    What are the zeros of a polynomial function?

2.    `What are the zeros of a polynomial?

3.     What is a simple zero?

 

 

 

 

 

Learn ‘Finding the Zeros of Polynomial Functions’ with AffordEdu Online One on One Math Tutoring.

Struggling with Finding the Zeros of Polynomial Functions? Need math help for homework? You are not the only one. Fortunately, our experts in math tutoring are online now and are ready to help.

 

 

 

 

MORE TOPIC RECOMMENDATIONS FOR YOU