Ex 2.1, 1
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
(i)
Since the graph does not touch the x-axis at any point
The number of zeroes is 0.
Ex 2.1, 1
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
(ii)
The number of times the graph touches the x-axis is 1.
Therefore, the number of zeroes is 1.
Ex 2.1, 1
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
(iii)
The number of times the graph touches the x-axis is 3.
Therefore, the number of zeroes is 3.
Ex 2.1, 1
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
(iv)
The number of times the graph touches the x-axis is 2.
Therefore, the number of zeroes is 2.
Ex 2.1, 1
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
(v)
The number of times the graph touches the x-axis is 4.
Therefore, the number of zeroes is 4.
Ex 2.1, 1
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
(vi)
The number of times the graph touches the x-axis is 3.
Therefore, the number of zeroes is 3.

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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