Consider the quadratic polynomial y=3x2−x−2.
(i) Find the zeros of the polynomial.
(ii) Determine the y-intercept.
(iii) Using the points obtained in (i) and (ii), along with one additional point of your choice, draw a neat sketch of the graph on a pair of axes.
(iv) From your sketch, state the intervals of x for which the value of the polynomial is positive and for which it is negative.