The correct option is D (−1,0)and(3,0)
Here roots of the quadratic equation x2−2x−3=0 are given as −1 and 3. In our question too, the quadratic polynomial in question is x2−2x−3. We know roots of a quadratic equation are x−intercepts of the graph of the corresponding quadratic polynomial. Thus the graph of the quadratic polynomial x2−2x−3 will pass through (−1,3). Hence b is the correct option.