How to factor out a GCF from a polynomial to then completely factor

The video tutorial explains the process of factoring, starting with identifying the greatest common factor (GCF) and then factoring trinomials. The instructor demonstrates how to rewrite expressions as products of their factors, emphasizing the importance of factoring out the GCF first. The tutorial further explores factoring trinomials by finding two numbers that multiply to a specific value and add to another. The session concludes with a discussion on the final factored form and an invitation for questions.

What is the first step in the factoring process as described in the video?

• Add a constant to each term

• Divide each term by its coefficient

• Multiply all terms by 2

• Identify the greatest common factor (GCF)

When factoring out the GCF, what is the result of dividing -27 by -3?

• 3

• 9

• -3

• -9

What operation is factoring compared to in the video?

• Division

• Multiplication

• Addition

• Subtraction

Which two numbers multiply to 9 and add to -6 in the trinomial?

• 3 and 3

• -3 and -3

• -1 and -9

• 1 and 9

What is the final factored form of the expression?

• -3X(X + 3)(X - 3)

• 3X(X - 3)^2

• -3X(X - 3)^2

• -3X(X + 3)^2