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 each of the graphs, find the number of zeroes of p(x)

Solution:

(i) The number of zeroes of p(x) is 1 (∵ the graph intersects the x-axis at one point only)

(ii) The number of zeroes of p(x) are 2 (∵ the graph intersects the x-axis at two points)

(iii) The number of zeroes of p(x) are 3. (∵ the graph intersects the x-axis at three points)

(iv) The number of zeroes of p(x) is 1. (∵ the graph intersects the x-axis at one point only ) 

(v) The number of zeroes of p(x) is 1. (∵ the graph intersects the x-axis at one point only) 

(vi) The number of zeroes of p(x) are 4. (∵ the graph intersects the x-axis at four points)

☛ Check: NCERT Solutions for Class 10 Maths Chapter 2

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 each of the graphs, find the number of zeroes of p(x)

Summary:

The number of zeroes in the graph of y = p(x), where p(x) is a polynomial of at most degree 4 is 4

☛ Related Questions:

• Find the zeroes of the quadratic polynomial x² + 7x + 10, and verify the relationship between the zeroes and the coefficients
• Find the zeroes of the polynomial x2 - 3 and verify the relationship between the zeroes and the coefficients
• Find a quadratic polynomial, the sum and product of whose zeroes are - 3 and 2, respectively