How to factor a trinomial completely over real numbers

The video tutorial covers the process of factoring expressions completely over real numbers. It begins with an introduction to the importance of factoring and identifying the greatest common factor (GCF). The tutorial then explores various factoring techniques, including the diamond method and the FOIL method, especially when the leading coefficient is not equal to one. The instructor demonstrates how to apply these methods to find the correct factors of a given expression, ensuring the factors multiply to the original expression. The video concludes with additional tips, such as looking for the difference of two squares.

What is the first step in factoring the expression mentioned in the text?

Explain the diamond method as discussed in the text.

What are the two numbers that multiply to give 5 in the factoring process?

Describe the process of applying FOIL to check the factors obtained.

What is the final factored form of the expression over real numbers?