Factoring 1-Factor out GCF

This lesson covers the basics of factoring a polynomial by factoring out the greatest common factor. By understanding how to factor out the greatest common factor, students will be able to simplify polynomials and write them in their factored form. Through step-by-step examples, learners will see how to identify the greatest common factor, write it out in front of the polynomial, and then multiply it by what's left inside the parentheses to get back to the original polynomial.

This shows the basics of factoring a polynomial by factoring out the greatest common factor.

• What is factoring?
• How do you factor with the GCF?
• How do you factor by pulling out the Greatest Common Factor?
• What does it mean to factor?
• How do you factor a polynomial?
• How is factoring the opposite of multiplying or distributing?
• How do you factor 2x + 10?
• What is the greatest common factor of 2x + 10?
• How do you write the factored form of a polynomial?
• How would you factor 6x-18?
• How do you factor 25y + 35 by pulling out the GCF?
• How do you factor polynomials with more than one variable?
• How can you factor 4x^2y^3 - 6x^2y^4 + 8xy^2?
• What is the procedure for factoring a polynomial using the greatest common factor?
• How do you find the GCF of a polynomial expression?
• How do you know what goes in parentheses after you pull out the GCF when you are factoring?
• How can you check to make sure that you have factored a polynomial expression correctly?
• What is the factored form for 20x^3y^2 - 10x^2y?
• How do you factor 12x^2 + 18xy^2?
• How do you know if you are finished factoring?
• What do you do if you did not pull out the greatest common factor?
• What if you can pull out more from the parentheses after factoring?