# Summary

- A polynomial with one variable is of the form
*=*Where,*n*is a non-negative integer and â‰ 0 . are variables are the terms of the polynomial - Based on the terms polynomials are classified as

(b) Binomial â€“ Polynomial with two terms

Â (c) Trinomial-Polynomial with three terms- Â Highest sum of the powers of the variables is the degree of the polynomial.
- Â Polynomial with degree one is Linear Polynomial.
- Â Polynomial with degree two is Quadratic Polynomial.
- Â Polynomial with degree three is Cubic Polynomial.
- If is a polynomial, and if =0, then
*a*is the root or zero of the polynomial.

Every linear polynomial has a unique zero.

Non-zero constant polynomial has no zero.

- Remainder Theorem: If is a polynomial of degree greater than or equal to 1, and is divided by a linear polynomial then
- Factor Theorem: is a factor of the polynomial ,if =0. Also if is a factor of then =0.Â
**: =** - Algebraic Identities

Identity II:

Identity III:

Identity IV:

Identity V

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Identity VI:=

Identity VII:

Identity VIII

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