Question

In the given figure, graph of polynomial \(p(x)\) is shown. Number of zeroes of \(p(x)\) is

• A. 3
• B. 2
• C. 1
• D. 4

Hint:

The number of zeroes of a polynomial equals the number of times its graph crosses the x-axis.

Answer 1

The Correct Option is A

To determine the number of zeroes of the polynomial \( p(x) \), we need to find the points where its graph intersects the x-axis. A zero of the polynomial occurs at these intersection points because they represent the values of \( x \) for which \( p(x) = 0 \).

From the provided graph, count the distinct points of intersection with the x-axis. Each intersection represents a zero of the polynomial.

Examining the graph, we observe that there are three points where the polynomial intersects the x-axis. Therefore, the number of zeroes of the polynomial \( p(x) \) is 3.