Question

For a polynomial $f(x)$, the graph of $y=f(x)$ is given. The number of zeroes of $f(x)$ in the graph will be: 

• A. 1
• B. 3
• C. 2
• D. 4

Hint:

The number of zeroes of a polynomial corresponds to the number of $x$-axis intersections of its graph. Always check the points where the curve touches or cuts the $x$-axis.

Answer 1

The Correct Option is B

Step 1: Definition of zero of a polynomial
Zeroes of a polynomial are the $x$-coordinates where the graph of $y=f(x)$ intersects the $x$-axis, i.e., where $f(x)=0$.

Step 2: Observe the given graph
From the graph, the curve cuts the $x$-axis at three distinct points.

Step 3: Count the zeroes
Since there are three points of intersection with the $x$-axis, the number of zeroes of $f(x)$ is $3$.
\[ \boxed{\text{Number of zeroes} = 3} \]