Question:
The number of zeroes of a polynomial \( y = p(x) \) as shown below is:
The number of zeroes of a polynomial \( y = p(x) \) as shown below is:
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The number of zeroes of a polynomial can be determined by counting how many times the graph intersects the \( x \)-axis.
Updated On: Apr 30, 2025
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Graph.
The number of zeroes of a polynomial corresponds to the number of times the graph of the polynomial intersects the \( x \)-axis. The zeroes are the points where \( y = 0 \), i.e., where the graph touches or crosses the \( x \)-axis. Step 2: Interpreting the Graph.
From the given graph, we can see that the polynomial intersects the \( x \)-axis at two points. Step 3: Conclusion.
Thus, the number of zeroes of the polynomial is 2.
The number of zeroes of a polynomial corresponds to the number of times the graph of the polynomial intersects the \( x \)-axis. The zeroes are the points where \( y = 0 \), i.e., where the graph touches or crosses the \( x \)-axis. Step 2: Interpreting the Graph.
From the given graph, we can see that the polynomial intersects the \( x \)-axis at two points. Step 3: Conclusion.
Thus, the number of zeroes of the polynomial is 2.
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