Determining the Equations of Polynomial Functions

Tutoring on Determining the Equations of Polynomial Functions

Learning Objectives:

Understand to Determine the Equations of Polynomial Functions.

Math Tutoring on Determining the Equations of Polynomial Function

To find a possible equation for a polynomial function let us review what we know about the zeros of a polynomial function. First, the zeros or roots of a polynomial function are the x values for which f(x) = 0. If the zeros or roots are r₁, r₂ and so-on, this gives us information about factors of the polynomial function. If r₁ is a 0, then (x - r ₁) would have to be a factor of the function. If r₂ is a 0, then (x - r₂) would also be a factor of the polynomial function and so on. Then the possible polynomial function is f(x) = a(x - r₁)(x -  r₂)… ……, we will let a=1 unless r is a fraction. If the polynomial function has complex zeros or roots, they always come in conjugate pairs (a+bi) and (a-bi).Lastly, graphically, if we have real zeros, the real zeros would be the x intercepts of the graph of the function. The method for finding the equation is similar to that in a quadratic, but in the case of polynomials, we do not have a vertex point. In math tutoring, this is why we use the zeroes.

 

 

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Hook Questions:        

1. What is a polynomial function?

2. What are zeros or roots of a polynomial function?

3. How to write the equation of a polynomial using x-intercept?

 

 

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Struggling with the Equations of Polynomial Function? 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.

 

 

 

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