Question

The graph of a polynomial intersects the y-axis at one point and the x-axis at two points. The number of zeroes of this polynomial are :

• A. 1
• B. 2
• C. 3
• D. 0

Answer 1

The Correct Option is B

Step 1: Understanding the graph of the polynomial:
- The graph of a polynomial intersects the y-axis at one point. This means the value of \( y \) when \( x = 0 \) gives the constant term of the polynomial.
- The graph intersects the x-axis at two points, which means there are two points where the value of \( y \) is 0, i.e., the polynomial has two real roots at these points.

Step 2: Interpreting the given information:
- Since the graph intersects the x-axis at two points, there are two values of \( x \) for which the polynomial is equal to zero. These are the zeroes of the polynomial.
- The graph intersects the y-axis at one point, meaning there is one constant term when \( x = 0 \), but this does not add to the number of zeroes.

Step 3: Conclusion:
The polynomial has two real zeroes, corresponding to the two points where the graph intersects the x-axis.

Final Answer:
The number of zeroes of the polynomial is 2.