How to factor the GCF from a trinomial

The video tutorial explains the process of factoring expressions by identifying and using the greatest common factor (GCF). It begins with an introduction to the concept of factoring as writing an expression as a product. The tutorial then guides viewers through identifying the GCF in a given expression and demonstrates the step-by-step process of factoring using this GCF. Finally, it discusses how to verify the factored form to ensure accuracy.

What is the primary goal when factoring an expression?

• To simplify the expression

• To write it as a product of factors

• To eliminate all variables

• To convert it into a polynomial

Why can't X^2 be used as a common factor in the expression X + X^2 * y + X^2 * y^2?

• Because it is not present in all terms

• Because it results in a negative exponent

• Because it is a constant

• Because it is not the largest term

Which term can be divided into all terms of the expression X + X^2 * y + X^2 * y^2?

• Y^2

• X

• Y

• X^2

What is the result of dividing X^2 * y by X?

• X

• Y

• X * y

• X^2

After factoring out the greatest common factor, what should be checked next?

• If the expression is simplified

• If there are any remaining common factors

• If the expression is a polynomial

• If the terms are in alphabetical order