How to Factor an Expression using the GCF| Math Defined with Mrs C | 7.EE.A.1

The video tutorial covers factoring the greatest common factor (GCF) from algebraic expressions using two methods: the traditional method and the ladder method. The traditional method involves finding the GCF of terms and using division to factor the expression. The ladder method simplifies the process by eliminating the initial step of finding the GCF. The tutorial also demonstrates factoring more complex expressions where the GCF is not immediately obvious, highlighting the efficiency of the ladder method. The video concludes with examples of simplifying expressions by factoring out the GCF.

What is the primary goal when factoring the GCF from algebraic expressions?

• To divide the expression by the smallest factor.

• To simplify the expression by removing common factors.

• To multiply the expression by the GCF.

• To add the GCF to each term.

In the traditional method, what is the first step in factoring the GCF?

• Multiplying the terms by the GCF.

• Dividing each term by the smallest number.

• Finding all factors of the coefficients.

• Rewriting the expression with parentheses.

What is the main advantage of the ladder method over the traditional method?

• It requires fewer calculations.

• It eliminates the need to find the GCF first.

• It uses addition instead of division.

• It is only applicable to simple expressions.

When using the ladder method, what should you do if the terms still share a common factor after the first division?

• Add the common factor to each term.

• Use another ladder to divide by the new common factor.

• Stop the process and write the expression as is.

• Multiply the terms by the GCF.

How do you determine the GCF when using the ladder method?

• By multiplying all the shared factors.

• By adding all the shared factors.

• By dividing the largest term by the smallest.

• By subtracting the smallest factor from the largest.

What is the final step in both the traditional and ladder methods for factoring the GCF?

• Multiplying the expression by the GCF.

• Dividing the expression by the GCF.

• Placing the GCF outside the parentheses.

• Adding the GCF to the expression.

In the expression 14X - 28Y, what is the GCF after using the ladder method?

• 28

• 2

• 14

• 7