Monomials and Factorization Concepts

In this video, Anil Kumar explains how to find the greatest common factor (GCF) of monomials. The video covers two examples, demonstrating the step-by-step process of identifying common factors and calculating the GCF. The method involves prime factorization of coefficients and variables. The video concludes with a summary and practice suggestions.

What is the first step in finding the greatest common factor of monomials?

• Divide the monomials by their coefficients

• Add the coefficients of the monomials

• List all the factors of each monomial

• Multiply the monomials together

Which of the following is a monomial?

• 12x² + y³

• 18x²y²

• x² - y²

• 3x + 4y

What is the prime factorization of the number 12?

• 3 × 4

• 2 × 6

• 1 × 12

• 2 × 2 × 3

How many factors of y are there in the monomial 12x²y³?

• 1

• 2

• 3

• 4

Which of the following is a correct factorization of y³?

• y³

• y²

• y × y × y

• y × y

Which of the following is a correct factorization of x²?

• x

• x × x

• x³

• x²

What is the prime factorization of the number 18?

• 3 × 6

• 2 × 3 × 3

• 2 × 9

• 1 × 18

Which of the following is a common factor of 12x²y³ and 18x²y²?

• 5

• x³

• y³

• 2

What is the greatest common factor of 12x²y³ and 18x²y²?

• 3x²y

• 12x²y³

• 6x²y²

• 18x²y²

What is the result of multiplying 2 × 3?

• 5

• 6

• 7

• 8