How to write the polynomial function given three zeros

The video tutorial explains how to write a polynomial when given its zeros. It begins by discussing the concept of zeros and their significance on a graph. The instructor then demonstrates how to convert these zeros into factors by setting them equal to zero. The process of multiplying these factors to form a polynomial is detailed, using the FOIL method. Finally, the tutorial shows how to combine terms to finalize the polynomial expression.

What is the significance of zeros in a polynomial graph?

• They are the points where the graph intersects the Y-axis.

• They are the points where the graph intersects the X-axis.

• They are the maximum points of the graph.

• They are the minimum points of the graph.

Why do we set zeros equal to zero when forming a polynomial?

• To find the maximum value of the polynomial.

• To rewrite them as factors for the polynomial.

• To determine the slope of the polynomial.

• To calculate the derivative of the polynomial.

What is the first step in converting zeros into factors?

• Subtracting the zeros from the polynomial.

• Adding the zeros to the polynomial.

• Setting the zeros equal to zero.

• Multiplying the zeros by a constant.

Which method is used to multiply the factors to form the polynomial?

• The FOIL method.

• The quadratic formula.

• The Pythagorean theorem.

• The binomial theorem.

What is the result of combining the terms after using the FOIL method?

• A linear equation.

• A quadratic equation.

• A constant value.

• A polynomial expression.