NCERT Class X Chapter 2: Polynomials Example 1(i)

Question:

Look at the graph in Fig. 2.9 given below. It is the graph of \( y = p(x) \), where \( p(x) \) is a polynomial. Find the number of zeroes of \( p(x) \).

Given:

The graph of the polynomial function \( y = p(x) \) is given.

To Find:

The number of zeroes of the polynomial \( p(x) \).

Formula:

The number of zeroes of a polynomial equals the number of points where its graph intersects the x-axis.

Solution:

Step 1: Observe the given graph of the polynomial \( y = p(x) \).

Step 2: Check how many times the graph cuts or touches the x-axis.

Step 3: The graph intersects the x-axis at exactly one point.

Step 4: Each point of intersection with the x-axis represents one zero of the polynomial.

Result:

The polynomial \( p(x) \) has exactly one zero.

Next question solution:

NCERT Class X Chapter 2: Polynomials Example 1(ii)

Next question solution:

NCERT Class X Chapter 2: Polynomials Example 1(ii)

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