Factoring GCF in Pre-Algebra

Mrs. Man reviews how to factor expressions using the greatest common factor (GCF). The lesson includes multiple examples, starting with simple terms and progressing to more complex expressions involving variables. Students are encouraged to practice on their own and reach out for help if needed. The video concludes with a reminder to complete a quiz on factoring GCF.

What is the first step in factoring using the greatest common factor (GCF)?

• Identify the smallest exponent

• Determine the largest number that can divide each term

• Add the terms together

• Multiply all terms by the GCF

In the expression 3x^2 + 27x + 9, what is the GCF?

• 27

• x

• 3

• 9

After factoring out the GCF in 3x^2 + 27x + 9, what is the resulting expression?

• 3(x^2 + 27x + 9)

• 3(x^2 + 9x + 3)

• 3(x^2 + 3x + 3)

• 3(x^2 + 9x + 1)

What is the GCF of the terms 4a^3 and 8a^2?

• 2a^2

• 4a^2

• 8a^2

• 4a^3

What is the result of factoring 4a^3 + 8a^2 by the GCF?

• 4a(a^2 + 2)

• 4a^2(a - 2)

• 4a^2(a + 2)

• 4a(a^2 - 2)

In the expression 48x^2y^3 - 16x^3y^2, what is the GCF?

• 16x^3y^2

• 48x^2y^3

• 48x^3y^2

• 16x^2y^2

What is the result of factoring 48x^2y^3 - 16x^3y^2 by the GCF?

• 16x^2y^2(3y + x)

• 16x^2y^2(3 - x)

• 16x^2y^2(3y - x)

• 16x^2y^2(3 + x)

In the expression m^3 + m^2 - m, what is the GCF?

• m^3

• m^2

• 1

• m

What is the result of factoring m^3 + m^2 - m by the GCF?

• m(m^2 + m - 1)

• m(m^2 + m + 1)

• m(m^2 - m + 1)

• m(m^2 - m - 1)

What should you do if you are unsure whether a number is a factor of another number?

• Multiply the numbers together

• Add the numbers together

• Use a calculator to divide the larger number by the smaller number

• Guess the factor