How To Find the Real Zeros of a Polynomial Function

The video tutorial explains how to find all values of X that make the function F(X) equal to zero. It begins with an introduction to the problem, followed by an explanation of the function and the goal of finding the X values. The tutorial then demonstrates how to factor the function into linear factors and solve for X, resulting in the values X = 0, X = 1, and X = -1.

What is the main goal when finding values of X for F(X) = 0?

• To find when F(X) is undefined

• To find when F(X) is less than 0

• To find when F(X) equals 0

• To find when F(X) is greater than 0

What is the first step in solving for X when F(X) = 0?

• Differentiate the function

• Graph the function

• Integrate the function

• Factor the function

What can be factored out from the function to simplify it?

• A constant

• A Z

• An X

• A Y

After factoring, what equation do we solve to find one of the values of X?

• X + 1 = 0

• X - 1 = 0

• X = 0

• X^2 + 1 = 0

What are the final values of X that make F(X) = 0?

• X = 0, 1, -1

• X = 0, 2, -2

• X = 1, 2, 3

• X = -1, -2, -3