Factoring Quadratics Using the Greatest Common Factor Method

The video tutorial explains how to factor quadratic expressions by identifying and using the greatest common factor (GCF). It begins with a basic introduction to factors, using numbers like 12, 18, and 27 as examples. The concept of the greatest common factor is introduced, followed by a detailed walkthrough of factoring the expression 18x^2 - 27x by extracting the GCF. The tutorial concludes with a verification of the factoring process and a summary of the lesson.

What are the common factors of 18 and 27?

• 2, 3, and 6

• 4, 6, and 12

• 9, 3, and 1

• 5, 10, and 15

What is the greatest common factor of 18x squared and 27x?

• 3x

• 12x

• 6x

• 9x

After factoring out the greatest common factor from 18x squared - 27x, what expression is left?

• 2x + 3

• 9x - 3

• 2x - 3

• 3x - 2

How can you verify that the factorization of 18x squared - 27x is correct?

• By subtracting the factors

• By adding the factors

• By dividing the factors

• By multiplying the factors back

What is the result of distributing 9x * 2x?

• 27x

• 18x squared

• 27x squared

• 18x