The graph of y=p(x) is given in the following figure, for some polynomial p x . Find the number of zeroes of p(x) . - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

We have been given a graph of

y = p (x)

for some polynomial

p (x)

. We need to determine the zeroes of

p (x)

.
The number of zeroes in a polynomial is determined by the number of times the graph cuts the x-axis.
Given graph is,

From the graph we can observe that the number of times at which the graph cuts the x -axis is

3.

Hence, the number of zeroes for the polynomial

p (x)

3.

Therefore, option 3 is correct.

The graph of $y = p (x)$ is given in the following figure, for some polynomial $p x .$ Find the number of zeroes of $p (x)$ .