Question

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 1

Answer:

1.It has no zeroes.

2.It has one zero.

3.It has three zeroes.

4.It has two zeroes.

5.It has four zeroes.

6.It has five Zeroes.

Step-by-step explanation:

It is because the graph how many times Intersect on x-axis at those are the zeroes of polynomial.

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.