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.

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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