• Jump right to the exercises!
• For this web exercise, you need to fully understand what terms are.
  So, you may want to check these out:
  Recognizing Products and Sums; Identifying Factors and Terms
  Identifying Variable Parts and Coefficients of Terms

Important notes about the definition:

• A quadratic equation is, first and foremost, an equation.
  It must have an ‘$\,=\,$’ sign.
• When mathematicians say ‘an equation of the form ...’
  they really mean ‘an equation that can be put in the form ...’
  by using the two primary equation-solving tools:
  the Addition Property of Equality and the Multiplication Property of Equality.
• A quadratic equation must have an [beautiful math coming... please be patient] $\,x^2\,$ term.
  This is what $\,a\ne 0\,$ tells us.
• A quadratic equation is allowed (but not required) to have an $\,x\,$ term.
  The coefficient $\,b\,$ might be zero, which means the $\,x\,$ term is gone.
• A quadratic equation is allowed (but not required) to have a constant term.
  (Recall that a constant term is just a number—no variables.)
  The constant term, $\,c\,$, might be zero.

So, to check if an equation is a quadratic equation,
you want to make two passes through it (both sides):

• Does it have an $\,x^2\,$ term appearing somewhere?
  If not, then it's not a quadratic equation.
  Note: it can have lots of $\,x^2\,$ terms!
• The only other two term types that are allowed are $\,x\,$ terms and constants terms.
  (For example: no $\,x^3\,$ terms, no variables inside square roots, no variables in denominators, and so on.)
  So, sweep across the equation and look for anything other than $\,x\,$ terms and constant terms.
  If you find any, then it's not a quadratic equation.

In this exercise, you will practice identifying quadratic equations.