Factoring a trinomial raised to a higher power by factoring out GCF

The video tutorial covers the process of factoring polynomials, starting with an introduction to the concept and focusing on the use of the greatest common factor (GCF) to simplify expressions. The instructor guides students through a step-by-step process to factor a polynomial completely, emphasizing the importance of rewriting expressions as products. The tutorial concludes with achieving the final factored form of the polynomial.

What is the first step in factoring the expression X^4 - 7X^3 - 8X^2?

How do you determine the greatest common factor when factoring polynomials?

Explain the process of rewriting an expression as a product when factoring.

What does it mean for an expression to be written as a product in the context of factoring?

Can the expression X^2(X^2 - 7X - 8) be factored further? If so, how?