Question : 1:The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
Answer :
(i) The graph does not intersect the x axis, so there is no zero in this graph.
(ii) The graph intersects the x axis at one place, so there is only one zero in this graph.
(iii) The graph intersects the x axis at three places, so there are three zeros in this graph.
(iv) The graph intersects the x axis at two places, so there are two zeros in this graph.
(v) The graph intersects the x axis at four places, so there are four zeros in this graph.
(vi) The graph intersects the x axis at three places, so there are three zeros in this graph.