Exploring the Greatest Common Factor in Algebra

The video tutorial by Mr. Bress introduces the concept of factoring in mathematics, explaining its significance and how it relates to the greatest common factor (GCF). It covers the process of identifying factors, finding the GCF, and factoring polynomials. The tutorial also explains the zero product property and its application in solving equations. Throughout the video, Mr. Bress provides examples and practice problems to reinforce the concepts, ensuring students understand how to factor numbers and polynomials effectively.

What does it mean to factor a number?

• To divide the number by 2

• To un-multiply the number

• To subtract the number from itself

• To add the number to itself

Which of the following is a factor of 12?

• 3

• 11

• 5

• 7

What is the Greatest Common Factor (GCF) of 12 and 18?

• 2

• 6

• 9

• 3

Which of the following is NOT a factor of 18?

• 1

• 2

• 5

• 9

What is the GCF of 9 and 12?

• 2

• 1

• 3

• 4

If you factor out the GCF from 9x + 12, what is the resulting expression?

• 3(3x + 4)

• 3(2x + 4)

• 3(3x + 5)

• 3(3x + 3)

What is the Zero Product Property?

• If a product of two numbers is zero, one of the numbers must be zero

• If a product of two numbers is zero, both numbers must be zero

• If a product of two numbers is zero, neither number can be zero

• If a product of two numbers is zero, the numbers must be equal

Solve for x: 4x(x + 2) = 0

• x = 4 or x = -2

• x = 0 or x = 2

• x = 0 or x = -2

• x = 2 or x = -2

What is the first step in solving the equation 8m^2 - 4m = 0?

• Add 4m to both sides

• Subtract 4m from both sides

• Factor out the GCF

• Divide by 8

Solve for m: 4m(2m - 1) = 0

• m = 0 or m = -1/2

• m = 0 or m = 1/2

• m = 1 or m = -1/2

• m = 1 or m = 1/2