# 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 x
^{2}+ 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

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