Example 1
Look at the graphs in figure given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x).
(i)
The number of times the graph touches the x-axis is 1.
Therefore, the number of zeroes is 1.
Example 1
Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x).
(ii)
The number of times the graph touches the x-axis is 2.
Therefore, the number of zeroes is 2.
Example 1
Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x).
(iii)
The number of times the graph touches the x-axis is 3.
Therefore, the number of zeroes is 3.
Example 1
Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x).
(iv)
The number of times the graph touches the x-axis is 1.
Therefore, the number of zeroes is 1.
Example 1
Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x).
(v)
The number of times the graph touches the x-axis is 1.
Therefore, the number of zeroes is 1.
Example 1
Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x).
(vi)
The number of times the graph touches the x-axis is 4.
Therefore, the number of zeroes is 4.

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.