Saturday 30 March 2013

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.


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 that there are no zero in this graph
(ii)the graph intersects the x axis at one places so that here are one zeros in this graph
(iii)the graph  intersects the x axis at three places so that 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 intersect 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 that there are three zeros in this graph

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