Conner Ford

03/04/2023 · Middle School

For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the \( x \)-axis at each \( x \)-intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of \( f \) resembles for large values of \( |x| \). \( f(x)=-4 x^{2}\left(x^{2}-5\right) \) A. The real zero(s) of \( f \) is/are (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There are no real zeros. The multiplicity of the largest zero is \( \square \). (Type a whole number.) The multiplicity of the middle zero is \( \square \).