# CLASSIFYING POLYNOMIALS

Polynomials are of 3 different types and are classified based on the number of terms it has. The three types of polynomials are

• Monomial
• Binomial
• Trinomial

Monomial :

A Monomial is an expression which contains only one term.

For examples,

5x, 3, 6a4, -3xy

Binomial :

A binomial is a polynomial expression which contains exactly two terms. A binomial can be considered as a sum or difference between two or more monomials.

For examples,

– 5x+3, 6a4 + 17x, xy+ xy

Trinomial :

A trinomial is an expression that is composed of exactly three terms.

For examples,

– 8a4+2x+7 and 4x2 + 9x + 7

Note :

These polynomials can be combined using addition, subtraction, multiplication, and division but is never division by a variable.

Some examples of Non Polynomials are

1/x+2, x-3, x1/3

Determine if each expression is a monomial, binomial, trinomial, or not a polynomial.

 1)  -4xy It has one term Monomial 2)  a² - 8 It has two terms Binomial 3)  x/5 It has one term Monomial 4)  7z-1 It has one term, but negative exponent Not a monomial 5)  b7 It has one term Monomial 6)  2m - 7 It has two terms Binomial 7)  x² + 3x - 4 - 5 It has four terms Polynomial 8)  5/2x – 3 It has two terms Binomial 9)  3y² - 6 + 7y It has three terms Trinomial 10)  3x + 8x – 5x² It has three terms Trinomial 11)  8x³y²z It has one term Monomial 12)  2a² + 3ab-5ba It has three terms Trinomial 13)  9r + 11 – 5r² It has three terms Trinomial

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