Ex2.1, 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.
Ex2.1, 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.
Ex2.1, 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.
Ex2.1, 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.
Ex2.1, 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.
Ex2.1, 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.

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.