Using the Zeros to find a polynomial - Online Tutor

The video tutorial explains how to determine a polynomial function given its zeros. It begins by discussing the concept of zeros and their significance as X intercepts on a graph. The tutorial then demonstrates how to express these zeros as linear factors and use them to factor the polynomial. The FOIL method is applied to expand the polynomial, and the final step involves combining terms to form the complete polynomial function. The process is illustrated with examples, emphasizing the importance of each step in finding the polynomial function.

What is the relationship between zeros of a polynomial and its graph?

• Zeros are where the graph is undefined.

• Zeros are where the graph crosses the x-axis.

• Zeros are where the graph crosses the y-axis.

• Zeros are where the graph has a maximum point.

How can zeros be expressed in terms of factors?

• As constant factors.

• As linear factors.

• As exponential factors.

• As quadratic factors.

What is the first step in finding the zeros of a polynomial?

• Factoring the polynomial.

• Graphing the polynomial.

• Differentiating the polynomial.

• Integrating the polynomial.

What does the FOIL method help with in polynomial expansion?

• Finding the derivative.

• Finding the integral.

• Expanding the product of two binomials.

• Solving the polynomial equation.

What is the result of applying the FOIL method to (X - 2)(X - 5)?

• X^2 + 7X - 10

• X^2 - 7X + 10

• X^2 + 10X - 7

• X^2 - 10X + 7