4. Use the function below to answer the questions that follow. g(x) = -2x* +x' + 6x2 +x -2 (a) List all possible rational zeroes (according to the Rational Root test). (b) Check the possibilities in your list until you find one root. SHOW YOUR WORK. Root = r = (c) Find Q(x) = g(x) : (x - r), where r is the root you found in the previous part. How does this quotient help you find the other roots of g(x)? Q(I) = (d) Find all of the zeroes of g(r) and their multiplicities. Don't forget to list the zero you found earlier. SHOW YOUR WORK. Root Multiplicity (e) Sketch a graph of the polynomial. Label the r-intercepts with the values you found. You might need to plug in some extra r-values to give you an idea of how big the y-values are, especially relative maxima or minima. If so, include them on the chart below. y