Finding the Greatest Common Factor

This video tutorial explains how to factor out the greatest common factor (GCF) from various algebraic expressions. It begins with simple examples involving binomials and progresses to more complex expressions, including those with variables and trinomials. The tutorial also covers factoring expressions with common factors and multiple variables, providing step-by-step guidance on identifying and extracting the GCF.

What is the greatest common factor of 12x and -20?

• 2

• 4

• 6

• 8

Which number is the GCF of 6x^2 and 18x?

• 3x

• 6x

• 9x

• 12x

What is the GCF of 14x^2 and -35x?

• 5x

• 6x

• 8x

• 7x

For the expression 36x^5 - 63x^3, what is the GCF?

• 9x^3

• 6x^3

• 12x^3

• 3x^3

What is the GCF of the expression 2x^2 - 8x + 10?

• 8

• 2

• 4

• 6

In the expression 27x^5 + 36x^3 - 45x^2, what is the GCF?

• 12x^2

• 9x^2

• 6x^2

• 3x^2

What is the common factor in x(x-2) + 3(x-2)?

• 3

• x

• x+3

• x-2

In the expression y(3x-2) - 4(3x-2), what is the GCF?

• y-4

• 4

• 3x-2

• y

What is the GCF in the expression 2x-3(y-4) + 3x+8(y-4)?

• x+1

• y-4

• 3x+8

• 2x-3

After factoring out the GCF, what is the simplified form of 5x + 5?

• x+1

• 5x

• x

• 5(x+1)