Find the xintercepts of the polynomial function State whethe

Find the x-intercepts of the polynomial function, State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. x^4 + 4x^3 - 9x^2 = 0 0, touches the x-axis and turns around; - 12, crosses the x-axis 8, crosses the x-axis 0, touches die x-axis and turns around; 12, crosses the x-axis; -8, crosses the x-axis 0, crosses the x-axis; -12, crosses the x-axis; 8, crosses the x-axis 0, touches the x-axis and turns around; 12, touches the x-axis and turns around; -8, touches the x-axis and turns around Determine whether the graph shown is the graph of a polynomial function.

Solution

49) x^2(x^2+4x-96)=0 => x^2(x+12)(x-8) = 0
   So choice A is correct, because repeated zeroes at x=0

40) looks like graph of parabola
   Hence choice A is correct.