 Hi and welcome to the session. I am Neha and I am going to help you with the following question. The question says the graphs of y equal to p of x are given for some polynomials p of x. Find the number of zeros of p of x in each case. Here are the six graphs given to us. Before proceeding for the solution, recall that zeros of the polynomial p of x are the x coordinates of the points where the graph y equal to p of x intersects x axis. This is the key idea for this question. Now let's see its solution. Let's proceed with the graph given in the first part. Here is the graph of a line which intersects y axis but it does not intersects x axis. And according to the key idea zeros of the polynomial are the x coordinates of the points where the graph intersects x axis. But in the first part the graph does not intersects x axis. So we will write graph does not intersects x axis therefore there will not be any zero for this graph. So this implies there are no zeros. Now let's proceed with the second part. Let's see its graph alright. Here the graph intersects x axis at one point that is this one. So here we will write graph intersects x axis. So according to the key idea this implies the number of zeros is one. Let's move on to third part. Here is its graph. In this the graph passes or it intersects x axis at this point then this point and it lasts at this point. So there are three points where the graph intersects the x axis. So that means graph intersects x axis three points. This implies the number of zeros a graph in the fourth part the graph intersects the x axis at these two points. Graph intersects this implies the number of zeros. Now let's move on to fifth part. The graph intersects the x axis at one point. Second point it intersects x axis at four points. So we will write graph intersects x axis this implies the number of zeros four. Now let's do the last part that is the sixth part. In this the graph intersects the x axis. Second point and so that means intersects x axis three points. This implies the number of zeros is three. So our final answer to this question is first no zeros, second one zeros, third three zeros, fourth four zeros and sixth three zeros. With this we finish this session. Hope you must have understood the question. Goodbye and have a nice day.