How to Factor a Solve for the Zeros of a Cubic Polynomial

The video tutorial covers solving a polynomial equation by setting it to zero, factoring out the greatest common factor (GCF), and applying the zero product property. The instructor emphasizes the importance of understanding the role of variables and constants in finding solutions. The tutorial also clarifies the difference between dividing out constants and variables, highlighting that variables can be solutions themselves.

What is the first step in solving a polynomial equation according to the instructor?

• Subtract the highest degree term

• Add a constant to both sides

• Multiply all terms by a constant

• Set the equation equal to zero

What does factoring out the greatest common factor (GCF) involve?

• Subtracting the GCF from each term

• Adding the GCF to each term

• Dividing each term by the GCF

• Multiplying each term by the GCF

How many factors does the polynomial have after factoring, as discussed in the video?

• Four factors

• Three factors

• Two factors

• One factor

What is the zero product property used for in solving polynomials?

• To multiply all terms by zero

• To divide each term by zero

• To set each factor equal to zero

• To add zero to each term

Why can't you divide out the variable X when solving the polynomial?

• Because X is a constant

• Because X is already zero

• Because X is a solution

• Because X is not a factor