How to find number of zeroes of different polynomials if graphs of polynomials are given to us.

**Number of zeroes for any polynomial is equal to number of times its graph meets the x-axis.**

**1.** The graphs of y=p(x) are given to us, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

(i) The graph does not meets x-axis at all. Hence, it does not have any zero.

(ii) Graph meets x axis 1 time. It means this polynomial has 1 zero.

(iii) Graph meets x axis 3 times. Therefore, it has 3 zeroes.

(iv) Graph meets x axis 2 times. Therefore, it has 2 zeroes.

(v) Graph meets x axis 4 times. It means it has 4 zeroes.

(vi) Graph meets x axis 3 times. It means it has 3 zeroes.