Understanding Rational Zeros with TI84 Calculator

This video tutorial demonstrates how to find the real rational zeros of a polynomial function using the TI84 graphing calculator. It covers the process of identifying possible rational zeros, graphing the function, and using the calculator's zero feature to determine the actual zeros. The tutorial also explains how to adjust the graph window for better visibility and how to factor the polynomial using the identified zeros.

What are the possible rational zeros of a polynomial determined by?

• The difference between the highest and lowest coefficients

• The product of the coefficients

• The factors of the constant term over the factors of the leading coefficient

• The sum of the coefficients

How do you list possible rational zeros of a polynomial?

• By considering all possible ratios of the factors of the constant term and leading coefficient

• By subtracting the factors of the constant term from the leading coefficient

• By multiplying the factors of the leading coefficient

• By adding all the factors of the constant term

What does the x-intercept of a graph represent in terms of polynomial zeros?

• The maximum value of the function

• The minimum value of the function

• The average value of the function

• The real zeros of the function

Which feature of the TI84 calculator helps in finding rational zeros?

• The zoom feature

• The graph feature

• The 0 feature

• The trace feature

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

• By using the zoom feature

• By using the graph feature

• By using the math function to convert to a fraction

• By using the trace feature

What is the first step in factoring a polynomial using its zeros?

• Multiplying the zeros

• Subtracting the zeros

• Adding the zeros

• Identifying the zeros as factors

If a polynomial zero is x = -5/3, what would be a factor of the polynomial?

• 3x - 5

• 3x + 5

• x + 5/3

• x - 5/3

What is the factor of a polynomial if x = 1/2 is a zero?

• x - 1/2

• x + 1/2

• 2x - 1

• 2x + 1

How can you ensure that a polynomial factor does not contain fractions?

• By dividing both sides by the numerator

• By subtracting fractions from both sides

• By multiplying both sides by the denominator

• By adding fractions to both sides

What is the relationship between rational zeros and polynomial factors?

• Rational zeros are the opposite of polynomial factors

• Rational zeros help in determining polynomial factors

• Rational zeros are the same as polynomial factors

• Rational zeros are unrelated to polynomial factors