Algebra – Quadratic Equations

 

Quadratic Equations

 
 

Factoring Quadratic Equations (I)

 

  • Quadratic equations of the form ax² + bx + c  ( a=1)
  • Step-by-step factoring process of simple quadratic equations
  • Finding the 2 roots that satisfy the quadratic equation.

 

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Factoring Quadratic Equations (II)

 

  • Quadratic equations of the form ax² + bx + c  (a≠1)
  • Step-by-step factoring process of more complex quadratic equations
  • Finding the 2 roots that satisfy the quadratic equation.
 

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Quadratic Formula

 

  • Use when factoring cannot be done
  • Always use when told to find roots to 1,2,3..... decimal places
 

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Quadratic Formula - 1 Root / No Roots

1 Root

  • When  b² - 4ac = 0
  • The curve,  when drawn on a graph, intersect the x-axis at one point only
  • 1 x-value that will make the equation equal to 0

No Roots 

  • When  b² - 4ac < 0
  • The curve, when drawn on a graph, does not cross the x-axis at all
  • No x-values that will make the equation equal to 0
 

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