Question

find the value of zeroes of the polynomial p (x) as shown in the graph and hence find the polynomial

Answer 1

if a graph of polynomial P(x) is shown, number of zeroes of given polynomial equals number of intersections done by graph on X - axis.

for instance, if a graph of polynomial P(x) cuts the x - axis at two different points , it means P(x) has two zeroes.

now see graphs,

figure -(i) [left side mentioned as fig (i) ] : here we see graph of polynomial cuts x - axis at two different points i.e., 0 and -2. hence, polynomial has two zeroes. and these are ; 0 and -2.

figure -(ii) : here we see graph of polynomial cuts x - axis at only one point i.e., 1 therefore, polynomial has only one zero. and that is ; 1.

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