Basic Polynomial Graphs - Problem 12

To graph a polynomial, you'll want to know as many key features as possible, including x and y intercepts and end behavior. To find the x-intercepts, set each factor equal to zero. The real solutions will show up as x-intercepts on the graph. Any factor that occurs with an even power, like both factors in this example, will result in "even multiplicity-" the function will not cross the x-axis at these points, but rather, "bounce." You may need a decimal approximation for zeros in some cases. To find the y-intercept, as always, let x = 0. Consider the end behavior to sketch the direction in which your y-values will go as x gets very large or very small.