Finding X Intercepts of Polynomial Functions by Analyzing Factors

This video tutorial covers the fundamentals of functions and polynomials, focusing on how to determine the X intercepts of polynomial functions by analyzing their factors. It explains the concept of functions, how to evaluate them, and introduces polynomials and their properties. The tutorial provides methods to find X intercepts of polynomial graphs and solve higher order polynomial equations. It also addresses common mistakes students make when solving polynomial equations and offers solutions.

What defines a function in terms of inputs and outputs?

• Inputs and outputs are unrelated.

• Outputs can be paired with multiple inputs.

• Each input corresponds to a single output.

• Each input can have multiple outputs.

What is a zero of a function?

• An input that yields a non-zero output.

• A factor that cannot be simplified.

• An input that yields an output of zero.

• An output that corresponds to multiple inputs.

How do you find the X intercepts of a polynomial graph?

• Set the polynomial equal to one and solve.

• Find the minimum value of the polynomial.

• Find the maximum value of the polynomial.

• Set the polynomial equal to zero and solve.

What is the relationship between zeros and X intercepts?

• Zeros are always less than X intercepts.

• Zeros are always greater than X intercepts.

• Zeros are the same as X intercepts.

• They are unrelated concepts.

What is the zero product property used for?

• To find the maximum value of a polynomial.

• To determine the degree of a polynomial.

• To set each factor of a polynomial equal to zero.

• To find the minimum value of a polynomial.

What is a common mistake when factoring polynomials?

• Finding the X intercepts.

• Setting the polynomial equal to zero.

• Factoring out the greatest common factor.

• Ignoring the zero product property.

What happens if a polynomial factor yields an imaginary solution?

• It is considered a valid X intercept.

• It is ignored when finding real X intercepts.

• It is used to find the minimum value.

• It is used to find the maximum value.