TI84 Graphing Calculator: Finding Real Rational Zeros

This video tutorial demonstrates how to use the intersection feature of the TI84 graphing calculator to find real rational zeros of a polynomial function. It compares this method to the zero feature and explains the process of graphing the polynomial and the x-axis to identify x-intercepts. The tutorial also covers converting repeating decimals to fractions and using these zeros to determine polynomial factors, emphasizing the connection between a polynomial's graph and its factors.

What feature of the TI84 calculator is highlighted in this video for finding real rational zeros?

• The table feature

• The zero feature

• The intersection feature

• The graphing feature

What is the traditional method for finding possible rational zeros of a polynomial?

• Graphing the polynomial

• Using the zero feature

• Listing the factors of the constant term and leading coefficient

• Using the intersection feature

What do the x-intercepts of a polynomial graph represent?

• The y-values of the function

• The real zeros of the function

• The maximum points of the function

• The minimum points of the function

Which two equations are graphed to find the intersection points using the TI84?

• The polynomial function and Y=1

• The polynomial function and Y=X

• The polynomial function and Y=0

• Y=0 and Y=1

How can you convert a repeating decimal to a fraction on the TI84?

• By using the zero feature

• By using the table feature

• By using the graph feature

• By using the math function to convert decimals to fractions

What is the rational zero corresponding to the repeating decimal -1.666667?

• -1/3

• -2/3

• -5/3

• -4/3

What is the process for finding the real rational zeros using the intersection feature?

• Graph the polynomial and use the zero feature

• Graph the polynomial and Y=0, then find intersections

• List all possible zeros and use trial and error

• Use the table feature to find zeros

How does knowing the zeros of a polynomial help in understanding its factors?

• Zeros show the symmetry of the graph

• Zeros help identify the factors of the polynomial

• Zeros indicate the maximum points

• Zeros provide the degree of the polynomial

What factor corresponds to the zero X = 1/2?

• 2X - 1

• X - 1/2

• X + 1/2

• 2X + 1

What is the factor of the polynomial for the zero X = 3?

• 3X + 1

• X - 3

• 3X - 1

• X + 3