Question

Observe the graph of polynomial p(x). Number of zeroes of p(x) is

Options

• 5

• 4

• 6

• 3

Answer 1

3

Explanation:

The number of real zeroes of a polynomial y = p(x) is the number of times its graph intersects or touches the x-axis.

Look at the provided graph:

The curve crosses the x-axis at three distinct points.

1. One point is on the negative x-axis. 
2. One point is at the origin or very close to it, intersecting the axis. 
3. One point is on the positive x-axis. 

Since there are 3 intersection points with the x-axis, the polynomial has 3 zeroes.

The number of zeroes is 3.