Consider the following. g(x) = x3 + 5X2 4x 20 (a) Find all real zeros of the polynomial function. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) X= (b) Determine whether the multiplicity of each zero is even or odd. smallest x-va l u e Select v Select v Ia rgest x-va l ue Select v (c) Determine the maximum possible number of turning points of the graph of the function. turning point(s) (cl) Use a graphing utility to graph the function and verify your answers. Find a polynomial function that has the given zeros. (There are many correct answers.) 1+\\/7,1\\/7 You construct an open box from a square piece of material, 18 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure). _\\' ~4>x 182X (a) Write a function Vthat represents the volume of the box. V(x) = (b) Determine the domain of the function V. (Enter your answer using interval notation.) (c) Use a graphing utility to construct a table that shows the box heights x and the corresponding volumes V(X). x, in V(x), in3 1 2 Mill Use the table to estimate a range of dimensions within which the maximum volume is produced. O The x-value is between 1 in and 4 in. O The x-value is between 4 in and 6 in. O The x-value is between 6 in and 7 in. (d) Use the graphing utility to graph V. V(x) V(X) V(x) V(X) Use the graph to estimate the value ofx for which V(x) is a maximum. (Round your answer to the nearest whole centimeter.) Compare your result with that of part (c) O The results agree. 0 The results do not agree