Question : The graph of y = p(x) are given below, for some polynomial p(x). Find the number of zeroes of p(x), in each case.
Solution :
(i) There are no zeroes as the graph does not intersect the x-axis.
(ii) The number of zeroes is one as the graph intersect the x-axis at one point only.
(iii) The number of zeroes is three as the graph intersect the x-axis at three points.
(iv) The number of zeroes is two as the graph intersect the x-axis at two points.
(v) The number of zeroes is four as the graph intersect the x-axis at four points.
(vi) The number of zeroes is three as the graph intersect the x-axis at three points.
