Exploring the GCF of Polynomials

This video tutorial covers the concept of the greatest common factor (GCF) for both numbers and variables. It explains how to find the GCF in monomials, binomials, and trinomials, using examples to illustrate the process. The tutorial also demonstrates how to factor expressions by identifying and using the GCF, and it provides methods for checking the accuracy of the factored forms.

What is the greatest common factor (GCF) of the numbers 15, 6, and 18?

• 2

• 3

• 6

• 9

When finding the GCF of variables, which variable exponent do you consider?

• The sum of the exponents

• The difference of the exponents

• The smallest exponent

• The largest exponent

What is the GCF of 8, 4, and 24?

• 2

• 6

• 4

• 8

For the terms 9x^2y^2 and 21xy^3, what is the GCF?

• 21xy^3

• 3x^2y^2

• 3xy

• 9xy

What is the GCF of the binomial 3x + 6?

• x

• 3

• 3x

• 6

How do you factor the binomial 3x + 6 completely?

• 6(x + 1)

• 3x(1 + 2)

• x(3 + 6)

• 3(x + 2)

What is the GCF of -6x and 9?

• -6

• -3

• 3

• 9

For the terms 6a^2 and 4a, what is the GCF?

• 8a

• 2a

• 6a

• 4a

What is the GCF of 8x^2 and -4x?

• 4x

• -4x

• 8x

• 2x

For the terms 15x^3y^2, 9x^2y^3, and 6xy, what is the GCF?

• 9xy

• 6xy

• 15xy

• 3xy