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.