2016-06-18T21:25:03+08:00
Types of Polynomials

In this article we are going to discuss about types of polynomials . In mathematics, a polynomial is an expression of finite length constructed from variables (also known as indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and non-negative, whole-number exponents. For example, x2 - 4x + 7 is a polynomial, but x2 - 4/x + 7x3/2 is not, because its second term involves division by the variable x and because its third term contains an exponent that is not a whole number.

The highest power (exponent) of the variable in a polynomial is called the degree of the polynomial.

Below are the types of polynomials given below -

The polynomial 0 is called the zero polynomial.

If an expression contains only one term then it is called as monomial.

Examples of monomial: -5, 4x, 3, -10xy,…

If an expression contains two terms (sum of two monomials) then it is called as Binomial.

Examples of Binomial: z+7xy, -4x+yz, 2x+3y,…

If an expression contains three terms (sum of three monomials) then it is called as Trinomial.

Examples of Binomial: x2+3x+4, 2x2+5x+7,….

heck whether the following expressions are monomial or binomial or trinomial:

1) 2 is the monomial. Because, it is a real number and an example of constant.

2) x is is the monomial. Because, it is a single variable.

3) 2x+3y is called binomial. Because, this expression contains two terms.

4) 2x + 3y - z is called trinomial. Because, this contains three terms.

5) x+ 10 + 7 is called trinomial. Because it contains three terms.

6) 4x3 is called monomial. Because this expression contains one term.

7) 8x + 2xy + 2 is called trinomial. Because,this expression contains one term.

8) 9x4 is called monomial. Because, It has only one term.

9) 2x + 4y2 is called binomial. Because, this expression contains two terms.

10) 6s+3rsq is called binomial. Because, this expression contains two terms.

11) 8x3+3x2+2x is called trinomial. Because, this expression contains three terms.

Practice problems: