What do you need to know to be able to factor polynomials

The video tutorial covers the essential techniques for factoring polynomials to find their zeros. It emphasizes the importance of understanding various factoring methods, such as factoring out the greatest common factor (GCF), using the difference of squares and cubes, and factoring trinomials. The tutorial explains the zero product property, which is crucial for solving polynomial equations by setting each factor to zero. The video concludes by highlighting the difference between factors and zeros, and the importance of these concepts in solving polynomial equations.

What are the key factoring techniques you need to know to determine the zeros of a polynomial?

What is the importance of factoring out the GCF when finding zeros of a polynomial?

Explain the Zero Product Property and its significance in factoring.

Describe the process of applying the Zero Product Property to find the roots of a polynomial.

What are the differences between factors, roots, and solutions in the context of polynomial equations?