EXERCISE 2.1
1. The graphs of y = p(x) are given in figures below for some polynomials p(x). Find the number of zeroes of p(x), in each case.
Sol.
(i) There are no zeroes as the graph does not intersect the x-axis.
(ii) The number of zeroes is one as the graph intersects the x-axis at one point only.
(iii) The number of zeroes is three as the graph intersects the x-axis at three points.
(iv) The number of zeroes is two as the graph intersects the x-axis at two points.
(V) The number of zeroes is four as the graph intersects the x-axis at four points.
(vi) The number of zeroes is three as the graph intersects the x-axis at three points.