(Solved): Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below. 3. Sol ...

Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below. 3. Solve the inequality algebraically. \[ \frac{x+2}{x-8} \geq 1 \] The solution is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any Solve the following inequality. \[ x^{3}-10 x^{2}<0 \] Analyze the polynomial function \( f(x)=x^{2}(x+2) \) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of \( f \) behaves like \( y= \) for large values of \( |x| \). (b) Find the \( x \)-and \( y \)-intercepts of the graph of the function. The \( x \)-intercept(s) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The \( y \)-intercept is (Simplify your answer. Type an integer or a fraction.) (c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the \( x \)-axis at each \( x \)-intercept. The zero(s) of \( \mathrm{f} \) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The lesser zero of the function is of multiplicity , so the graph of \( f(1) \) the \( x \)-axis at \( x= \) The greater zero of the function is of multiplicity so the graph of \( f(2) \) the \( x \)-axis at \( x= \) (d) Determine the maximum number of turning points on the graph of the function. (Type a whole number.) (e) Use the above information to draw a complete graph of the function. Choose the correct graph below.