# CBSE Maths Formula Class 10 Polynomials Chapter 2

We, at cbseinsights.com, have come up with the list of Formulae considered as RAM BAAN for polynomials Chapter-2. The main aim of CBSE Maths Formula Class 10 is to help students memorize and apply the concepts in a very understandable way. I hope you all will find the list quite helpful .Wishing for your best and confident future.

## CBSE MATHS FORMULA CLASS 10 POLYNOMIALS CHAPTER 2

Degree of polynomials

The highest power of x in p(x) is called the degree of the polynomial p(x).

-Linear polynomial is a polynomial of degree 1

– Quadratic polynomial is a polynomial of degree 2

– Cubic polynomial is a polynomial of degree 3

General form of polynomial

Value of polynomial

If p(x) is a polynomial in x, if k is any real number, then the real number obtained by replacing x by k in p(x), is called the value of p(x) at x = k and is denoted  by p(k).

Zero of a Polynomial

Zero of a polynomial p(x) is a real number k such that “p(k) = 0”

In general,  p(x) = ax + b

⟹ p(x) = ax + b

But p(x) = ax + b

⟹ ak  + b = 0

⟹ k = -b/a

It is clear that, zero of a linear polynomial is related to its coefficients.

Relationship between zeroes and coefficients of a polynomial

Geometric Meaning of the Zeroes of the Polynomial:
Let’s assume
Y= p (x), where p(x) is the polynomial of any form.
Now we can plot the equation y=p(x) on the Cartesian plane by taking various values of x and y obtained by purring the values. The plot or graph obtained can be of any shape.
The zeroes of the polynomial are the points where the graph meets the x-axis in the Cartesian plane. If the graph does not meet the x-axis, then the polynomial does not have any zeroes.
Let us take some useful polynomial and shapes obtained on the Cartesian plane