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, xy²+ 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, x^1/3

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

CLASSIFYING POLYNOMIALS

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