Question

The graphs ofy=p(x) are given in the figures below, for some polynomials p(x). In each case, find the number of zeroes of p(x).​

Answer 1

Answer:

(i) The graph does not intersect the x-axis, so there are no zeros in p(x).

(ii) The graph intersects the x-axis at one place, so here there is one zero in p(x).

(iii) The graph intersects the x-axis at three places, so that there are three zeros in p(x).

(iv) The graph intersects the x-axis at two places, so here there are two zeros in p(x).

(v) The graph intersects the x-axis at four places, so there are four zeros in p(x).

(vi) The graph intersects the x-axis at three places, so that there are three zeros in p(x).