NCERT Solutions for Class 10 Maths Ex 2.1
1. The graphs of y = p(x) are given below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
(i)
(ii)
(iii)
(iv)
(v)
(vi)
Solution: (i) Since
the graph of p(x) does not meet x-axis
at all, it does not have any zero.
(ii) Since
the graph meets x-axis at one point, the
polynomial p(x) has 1 zero.
(iii) Since
the graph meets x-axis at three
points, the polynomial p(x) has 3 zeroes.
(iv) Since
the graph meets x-axis at two points,
the polynomial p(x) has 2 zeroes.
(v) Since
the graph meets x-axis at four
points, the polynomial p(x) has 4 zeroes.
(vi) Since the graph meets x-axis at three points, the polynomial p(x) has 3 zeroes.