7.3 - Factoring Monomials from Polynomials

 Introduction:

This is a set of guiding questions and materials for creating your own lesson plan on how to factor out a monomial from a polynomial.

 

 Common Core State Standards:

A.SSE.2

 Learning Objectives:

      To factor a monomial from a polynomial.

       

       Guiding Questions:

      • What is the distributive property and why does it work?
      • What can you say about 2(3x + 4) = 6x + 8?
      • Why do we call it factoring?
      • Distributing <--> Factoring
      • If we had started with 6x + 8, how would’ve we reached 2(3x + 4)?
      • Following the approach above, what can we do with the following polynomials?
        • 3x – 15
        • 3a2 + 7a
        • 4b3 + 6b2 – 2b
        • 3c2 – 6

       

       Notes for Teachers:

      We recommend reviewing again the distributive property through integer decomposition, like we did with multiplication of polynomials.

       

       Video of the Day:

      Factoring monomials from polynomials

      We show the connection between the distributive property and factoring by pulling out the greatest common factor (GCF).

      Play media comment.

      Play media comment.

       

       Additional Resource for Teachers:

      If you wish to download the contents of this page as a printable pdf, click here:  Download 7.3 Factoring Monomials.pdf