Kaliyuga Ekalavya

NCERT Class X Chapter 2: Polynomials Example 1(ii) Question: Look at the graphs in Fig. 2.9 given below. Each is the graph of \( y = p(x) \), where \( p(x) \) is a polynomial. For the given graph, find the number of zeroes of \( p(x) \). Given: The graph of the polynomial \( y = p(x) \) is given. To Find: The number of zeroes of the polynomial \( p(x) \). Formula: Number of zeroes of a polynomial = Number of points where the graph of the polynomial intersects the x-axis. Solution: Step 1: Observe the given graph of the polynomial. $$ y = p(x) $$ Step 2: Identify the points where the graph intersects the x-axis. Step 3: The graph cuts the x-axis at two distinct points. Step 4: Each point of intersection with the x-axis represents one zero of the polynomial. Result: The number of zeroes of the polynomial \( p(x) \) is 2 . Next question s...

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) ...