The document Ex 2.1 NCERT Solutions - Polynomials Class 10 Notes | EduRev is a part of the Class 10 Course Mathematics (Maths) Class 10.

All you need of Class 10 at this link: Class 10

**Exercise 2.1****Ques 1: The graphs of y = p(x) are given in the figure given below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.**

**Sol. **(i) The given graph is parallel to x-axis. It does not intersect the x-axis.

âˆ´ It has **no** zeroes.

(ii) The given graph intersects the x-axis at one point only.

âˆ´ It has **one** zero.

(iii) The given graph intersects the x-axis at three points.

âˆ´ It has** three** zeroes.

(iv) The given graph intersects the x-axis at two points.

âˆ´ It has **two** zeroes.

(v) The given graph intersects the x-axis at four points.

âˆ´ It has **four** zeroes.

(vi) The given graph meets the x-axis at three points.

âˆ´ It has **three** zeroes.

**Relationship between Zeroes and Coefficients of a Polynomial**

(i) For a quadratic polynomial: If Î± and Î² are the zeroes the quadratic polynomial

p (x) = ax^{2} + bx + c, (a â‰ 0) then

i.e.,

(ii) For a cubic polynomial: If Î±, Î², Î³ are the zeroes of a cubic polynomial ax^{3 }+ bx^{2} + cx + d, then

i.e.,

Sum of products of the zeroes taken two at a time

Offer running on EduRev: __Apply code STAYHOME200__ to get INR 200 off on our premium plan EduRev Infinity!

178 videos|268 docs|103 tests

### Ex 2.2 NCERT Solutions - Polynomials

- Doc | 5 pages
### Video: Division Algorithm For Polynomials

- Video | 03:50 min
### Test: Zeroes And Coefficients

- Test | 20 ques | 20 min
### Zeros of a Linear Polynomial

- Video | 03:35 min
### Ex 2.3 NCERT Solutions - Polynomials

- Doc | 3 pages

- Doc: Introduction to Polynomials
- Doc | 4 pages
- Video: Introduction to Polynomials
- Video | 04:12 min