Factoring Using the Greatest Common Factor (GCF)

The video tutorial introduces the concept of factoring using the greatest common factor (GCF). It outlines the steps of finding the GCF, dividing, and leading with the GCF, using the mnemonic 'GDL'. Two examples are provided: factoring 48a^7 - 16a^4 and 9x^2y^4 + 54xy^3. The tutorial demonstrates the use of factor trees to find the GCF and explains the process of dividing and simplifying expressions. The video concludes with a reminder to lead with the GCF in the final factored expression.

What is the first step in factoring using the GCF?

• Find the greatest common factor

• Subtract the exponents

• Divide the terms

• Multiply the terms

In the expression 48a^7 - 16a^4, what is the GCF of the coefficients?

• 4

• 8

• 32

• 16

When dividing 48a^7 by 16a^4, what is the resulting exponent of 'a'?

• 1

• 7

• 4

• 3

What is the GCF of the expression 9x^2y^4 + 54xy^3?

• 9x^2y^4

• 54xy^3

• 3xy

• 9xy^3

In the expression 9x^2y^4, what is the lowest exponent of 'y' used to find the GCF?

• 4

• 3

• 2

• 1

After factoring 9x^2y^4 + 54xy^3, what is the coefficient of the second term inside the parentheses?

• 1

• 6

• 9

• 54

What should you do after dividing the terms by the GCF?

• Subtract the GCF

• Lead with the GCF

• Add the GCF back

• Multiply the terms

What is the final step in the GDL method?

• Multiply

• Find the GCF

• Lead with the GCF

• Divide

What is the motivational message at the end of the video?

• Kindness multiplies kindness

• Never give up

• Practice makes perfect

• Always double-check your work

What is the purpose of using a factor tree in the examples?

• To divide the terms

• To find the prime numbers

• To simplify the expression

• To identify the GCF