What exactly is factoring a polynomial

The video tutorial introduces the concept of factoring, starting with simple examples involving monomials and moving towards more complex examples with binomials and polynomials. The teacher explains the process of identifying the greatest common factor (GCF) and demonstrates how to factor expressions by dividing out the GCF. The tutorial includes interactive elements, asking students to identify factors and solve problems. The session concludes with an advanced example, encouraging students to practice independently.

Describe the steps to rewrite the expression 8 as a product.

What is the result of factoring the expression 7X + 5?

How would you factor the polynomial 8M^4 + 6M^3 - 12M^2?