**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.