Factoring and GCF Concepts

This video tutorial teaches how to factor binomial expressions completely. It covers two examples, demonstrating the use of the greatest common factor (GCF) and the difference of squares formula. The first example factors 12x^2 - 27, while the second example factors 18x^3 - 50x. The video concludes with an assignment for viewers to practice on their own.

What is the first step in factoring the expression 12x^2 - 27?

• Divide by the highest power of x

• Combine like terms

• Expand the expression

• Identify the common factor between 12 and 27

What is the greatest common factor (GCF) of 12 and 27?

• 3

• 2

• 6

• 4

After factoring out the GCF from 12x^2 - 27, what expression is left inside the parentheses?

• 3x^2 - 3

• 4x^2 - 3

• 3x^2 - 9

• 4x^2 - 9

How can 4x^2 be written to apply the difference of squares formula?

• (2x^2)

• (x^2)^2

• (4x)^2

• (2x)^2

What is the GCF of the coefficients 18 and 50 in the second example?

• 10

• 3

• 2

• 5

What is the GCF of the variables x^3 and x in the second example?

• 1

• x

• x^3

• x^2

What expression is left inside the parentheses after factoring out the GCF from 18x^3 - 50x?

• 9x^2 - 25

• 18x^2 - 50

• 9x^3 - 25

• 18x^3 - 50x

How can 9x^2 be written to apply the difference of squares formula?

• (3x)^2

• (9x)^2

• (x^2)^2

• (3x^2)

What are the complete factors of 18x^3 - 50x?

• 2x(3x^2 + 5)(3x^2 - 5)

• 2x(9x + 5)(9x - 5)

• 2x(3x + 5)(3x - 5)

• 2x(3x + 5)(3x - 1)

What should you do after watching the tutorial to check your understanding?

• Solve the given assignment problems

• Watch another video

• Take a break

• Read a textbook