How to factor the GCF from a trinomial

The video tutorial explains the process of factoring algebraic expressions by identifying and dividing out the greatest common factor. It emphasizes the importance of writing expressions as products and demonstrates the step-by-step process of factoring, including handling exponents and verifying the factored form.

What is the primary goal when factoring an expression?

• To write it as a sum

• To write it as a product

• To eliminate all variables

• To simplify it to a single term

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

• Because it is not the largest term

• Because it results in a negative exponent

• Because it is not present in all terms

• Because it is not a prime number

Which term can be divided into all terms of the expression?

• Y^2

• X^2

• Y

• X

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

• X^2

• X

• Y

• Xy

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

• If the expression equals zero

• If there are any remaining common factors

• If the expression is simplified

• If the terms are in alphabetical order