A Polynomial is an algebraic expression that contains finite number of terms with non-zero coefficients. In other words, it can be described as an expression that contains finite number of terms with combination of variables, whole number exponents of variables and consonants.

**Monomial-**A polynomial having only one term is known as a Monomial. Eg., 2x^{2}, 7xy.**Binomial-**"Bi" means two. Therefore, a polynomial having two terms is known as a Binomial. Eg., 2x+5, 5x^{2}6.**Trinomial-**The word “tri” means three. Hence, a polynomial with three terms is known as a Trinomial. Eg., 2x^{2}-4x+5,

The exponent in the term having the highest power is known as the “degree of polynomial”. Example, in the equation 7_{x}^{5}+4_{x}^{4}-6_{x}^{3}-5_{x}^{2}+6, the term with the highest power is 7_{x}^{5}. Therefore, the degree of polynomial in this equation will be 5.

- A linear polynomial is a polynomial of degree 1.

It is of the form ax+b where a≠0. - A quadratic polynomial is a polynomial of degree 2.

It is of the form ax^{2}+bx+c where a≠0.

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Let p(x) and f(x) be the two polynomials where f(x) ≠0. Then, we can find polynomials q(x) and r(x), such that p(x) - f(x) . q(x) + r(x), where degree r(x) < degree f(x). Therefore, we can say that p(x) when divided by f(x) gives q(x) as a quotient and r(x) as the remainder.

If the remainder r(x) is zero, then we can say that divisor f(x) is a factor of p(x) and we have, p(x) = f(x) . q(x).

- Like terms contains the same variables having same powers.
- Unlike terms contains different variables having different powers.