Get NCERT Solutions of all questions of Polynomials Class 9 for CBSE Maths.

A polynomial is an equation of the form x^{2} + 2x + y - 3 = 0

It has

- Variables like x, y with powers as whole numbers (0, 1, 2, 3, ....). If
**Power is not a whole number**, the equation is not a polynomial. - constants like - 3

**Example**

x^{2} + 2x - 3 is a polynomial as power of x is 2 and 1.

But x^{1/2} + 1/x = 0 is not a polynomial as power of x is not a whole number (it is 1/2 and -1)

**General Equation of a Polynomial**

a_{n}x^{n} + a_{n-1}x^{n-1} + a_{n-2}x^{n-2} + ..... a_{1}x^{1} + a_{0}x^{0}

We will be studying polynomials which are in one variable, i.e. only has x or y, but not both.

Example - x2 + 2x - 3 is a polynomial in one variable as there is only x

But x2 + 2y - 3x = 0 is not a polynomial in one variable as there is both x and y.

We'll discuss Degree and coefficients of a polynomial as well as classifying polynomials based on degree i.e. linear, quadratic and cubic polynomials. Towards the end of the chapter, we'll be discussing algrebaraic identities and how to factorise using algebraic identity.

For worksheets and practice problems on polynomials, please click on any of the links below or ask us a question.