math8 week 1

• Finding the greatest common factor (GCF)

  1. List factors

  2. Use prime factorization
• Monomial


  A polynomial with only one term
• Standard form


  Polynomial arranged in descending order of degree
• Greatest common factor (GCF)


  The common factor having the greatest numerical factor and with variables having the least degree
• Finding the GCF by listing

  1. List the factors of each term

  2. Find the common factors

  3. The GCF is the factor with the greatest numerical value and lowest variable degree
• Finding the GCF by prime factorization

  1. Find the prime factors of each term

  2. The common prime factors make up the GCF
• Factoring polynomials


  1. Identify the GCF

  2. Factor out the GCF

  3. Factor the remaining expression
• Find the gcf
• Finding the CMF(common monomial factor)

  5x+5= 5(x+1)
• which of the following is the cmf and other factor?

  3x2 + 9x3 +12xy= 3x(x+3x2+4y)