Q1 of 44 Page 60

The graphs of y = p(x) are given in the figure below, for some polynomials p(x) In each case, find the number of zeroes of p(x)

(i) Since, the graph does not intersect with x-axis at any point therefore, it has no zeroes.

(ii) Since, the graph intersects with x-axis at only one point therefore, it has 1 number of zeroes.


(iii) Since, the graph intersects with x-axis three points therefore, it has 3 number of zeroes.


(iv) Since, the graph intersects with x-axis two points therefore, it has 2 number of zeroes.


(v) Since, the graph intersects with x-axis at four points therefore, it has 4 number of zeroes.


(vi) Since, the graph intersects with x-axis at three points therefore, it has 3 number of zeroes.


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