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• 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
• Factoring using distributive property

  1. Identify the GCF

  2. Factor out the GCF

  3. Distribute the GCF to the remaining terms
• Factoring using distributive property


  • 7/8(a+3) - c(a+3)
  • 4(3b-1) + 5(3b-1) + c(3b-1)
• Force


  The push and pull applied to an object, an influence that changes the motion of an object
• Applying force to an object

  1. Object remains stationary

  2. Apply force to move object

  3. Apply force in opposite direction to stop object
• Force


  • Magnitude (strength)
  • Direction
  • Point of application
  • Line of action
• Magnitude of force


  How strong the force is, affects the velocity/movement of the object
• Direction of force

  The points to where the object goes
• Point of application


  The location where the force is applied
• Line of action

  The straight line passing through the point of application and parallel to the direction of the force
• Types of force

  • Contact forces
  • Non-contact forces
• Contact forces


  Forces where an object needs physical contact to another object
• Applied force


  Force exerted by a person or object towards another person or object
• Friction force

  Force that goes against the direction of the applied force, causing the object to slow down
• Normal force


  Force that acts perpendicular to an object
• Tension force


  Force applied to string, rope, chain, cable, resisting being stretched out
• Normal force supports an object as the surface resists compression, tension force resists force that causes objects to stretch
• Perfect square

  A number that can be expressed as the product of two equal integers
• Identifying perfect squares

  1. Multiply the number by itself

  2. If the result is the original number, it is a perfect square
• Difference of two squares

  The expression x^2 - y^2
• Factoring a difference of two squares


  1. Rewrite as (x + y)(x - y)

  2. Where x and y are the square roots of the two terms
• If an expression is not a difference of two squares, it cannot be factored using the difference of two squares method