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.
Fig. 2.10​

Answer 1

Answer:

Finding the number of zeroes for the given fig:2.10

Step-by-step explanation:

In (1) There are no zeroe.

    (2)There are 1 zero.

    (3)There are 3 zeroes.

    (4)There are 2 zeroes.

    (5)There are 4 zeroes.

     (6)There are 4 zeroes.

Answer 2

Graphical method to find zeroes:-

Total number of zeroes in any polynomial equation = total number of times the curve intersects x-axis.

(i) In the given graph, the number of zeroes of p(x) is 0 because the graph is parallel to x-axis does not cut it at any point.

(ii) In the given graph, the number of zeroes of p(x) is 1 because the graph intersects the x-axis at only one point.

(iii) In the given graph, the number of zeroes of p(x) is 3 because the graph intersects the x-axis at any three points.

(iv) In the given graph, the number of zeroes of p(x) is 2 because the graph intersects the x-axis at two points.

(v) In the given graph, the number of zeroes of p(x) is 4 because the graph intersects the x-axis at four points.

(vi) In the given graph, the number of zeroes of p(x) is 3 because the graph intersects the x-axis at three points.