Factoring Out the GCF so that You can Solve a Polynomial to the 5th Degree

The video tutorial explains the process of factoring polynomials, starting with setting functions to zero and identifying the greatest common factor (GCF). It emphasizes understanding factoring as a division process, particularly when dealing with powers of X. The tutorial concludes with applying the zero product property to solve equations, demonstrating how to factor out terms and find solutions.

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

• Add a constant to both sides

• Multiply all terms by the highest power

• Divide by the smallest coefficient

• Set the function equal to zero

When factoring out a common factor, what mathematical operation is it similar to?

• Multiplication

• Subtraction

• Addition

• Division

How do you simplify the expression X^5 divided by X^3?

• X^3

• X^15

• X^2

• X^8

What property is used to find the roots of a polynomial equation after factoring?

• Distributive Property

• Associative Property

• Zero Product Property

• Commutative Property

What are the solutions to the equation after factoring X^3, X-4, and X-3?

• X = 0, X = 4, X = 3

• X = 0, X = 5, X = 2

• X = 1, X = 5, X = 2

• X = 1, X = 4, X = 3