Factorising

• What is the common factor of $40c^2 - 36$?


  4
• How is $40c^2 - 36$ factored?


  It factors to $4(x^2 - 9)$
• What is the factored form of $4(x^2 - 9)$?


  $4(x + 3)(x - 3)$
• What type of factorization is used in $4m^2 - 64$?


  Difference of two squares
• How is $4m^2 - 64$ factored?


  $(2m + 8)(2m - 8)$
• What is the first step in factoring $2002 - 700 +$$6$?


  Combine like terms
• What is the expression $2x^2 - 4x - 30x +$$76$ simplified to?


  $2x^2 - 34x +$$76$
• How is $2ox(x - 2) - 3(pc - 2)$ factored?


  $(200 - 3)(x - 2)$
• What two numbers add to -7 and multiply to +12?

  -3 and -4
• What are the steps for factoring a quadratic expression?

  1. Identify the coefficients.
  2. Find two numbers that add to the middle coefficient and multiply to the product of the first and last coefficients.
  3. Rewrite the expression using these numbers.
  4. Factor by grouping if necessary.