Question

Consider the polynomial function f(x)=3x^6+30x^5+75x^4. Describe the functions end behavior. Determine the function’s zero’s. Graph the function below

Answer 1

It's an even function so the tails will go in the same direction. Because it's an even function, they will both go up. When you factor that, you get x = 0 multiplicity 4, and x = -5 multiplicity 2. Can't graph it for you, though. Sorry.