In the past, you’ve seen linear and quadratic equations and their graphs. A linear equation is a polynomial of order 1, which means that the greatest exponent for a variable is 1. A quadratic equation is a polynomial of order 2. In what types of situations could you make use of polynomials of order 3 or higher? How would the graphs of these polynomials change? How would they change if there was a variable in a denominator of an equation? What if the variable was part of an exponent?
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