Finding all the Solutions of a Higher Order Polynomial by Factoring

The video tutorial explains how to factor complex trinomials, especially those raised to higher powers. It begins with identifying common factors and progresses to factoring quadratic trinomials. The tutorial then adapts these techniques for trinomials raised to the fourth power, emphasizing the importance of rewriting expressions. Finally, it applies the zero product property to solve equations, demonstrating the process step-by-step.

What is the first step to take when trying to factor a polynomial?

How do you rewrite a trinomial raised to the 4th power for factoring?

What two numbers multiply to give you 8 and add to give you -6?

What is the factored form of the trinomial X^2 - 6X + 8?

Explain the zero product property and how it applies to factoring.