__EXERCISE 2.1__

__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.