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Polynomial is a special kind of algebraic expression. In a polynomial, all variables are raised to only whole numbers (0, 1, 2, 3, 4,...) powers.

Now let us recall some learned definition from the concept of algebraic expression:

An algebraic expression which contains only one term is called a monomial.

Example:

\(3xyz\), \(4m^2\), \(-17a^{13}\) and \(r^7\) are monomials.

An algebraic expression which contains two terms is called a binomial.

Example:

\(x-y^4\), \(6a+17b\), \(3^m-15\) and \(34u^2v+4u^4v^3\) are binomials.

An algebraic expression which contains three terms is called a trinomial.

Example:

\(a+b-c\), \(2(x^2+5y+z)\), \(m^3+15n^2-37m\) and \(2p^2q-5pq^2-29s\) are trinomials.

An algebraic expression which contains one or more than one is called a polynomial.

Example:

\(2p-q+3r^3-\frac{7}{2}s\), \(m^4+n^3m-6m^2+14m^2n^2+56\) and \(x^3+y^3-3xyz\) are polynomials.

In the previous classes, we already learned how to add or subtract the algebraic expressions with integer coefficient.

Now we are going to discuss how to multiply or divide the algebraic expression with an integer coefficient.