Try the Free Math Solver or Scroll down to Tutorials!

Enter expression, e.g. (x^2-y^2)/(x-y)

Enter expression, e.g. x^2+5x+6

Enter expression, e.g. (x+1)^3

Enter a set of expressions, e.g. ab^2,a^2b

Enter equation to solve, e.g. 2x+3=4

Enter equation to graph, e.g. y=3x^2-1

Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

Solve for:

Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

Math solver on your site

Please use this form if you would like
to have this math solver on your website,
free of charge.

Name:

Email:

Your Website:

Msg:

Addition and Subtraction of polynomials

A monomial is a number, a variable, or a product of numbers and variables. The following
examples are monomials. The degree of a monomial is the sum of the exponents of the
variables.

	Degree = 1
	Degree = 2
	Degree = 3
	Degree = 6

The degree of a nonzero constant is zero.
Ex: the degree of 7 is 0

Each of the addends of a variable expression is called a term. For example, the following
variable expression:

4x – 3xy + 4z²

The terms are 4x, -3xy, and 4z². Note that to determine the terms of an expression, subtraction is
re-written as addition of the opposite.

A polynomial is a variable expression in which the terms are monomials.

A polynomial of one term is a monomial	Example:
A polynomial of two terms is a binomial	Example:
A polynomial of three terms is a trinomial	Example:
A polynomial of four or more terms is simply
called a polynomial	Example:

The terms of a polynomial in one variable are usually arranged so that the exponents of the
variable decrease from left to right. This is called descending order.

The degree of a polynomial is the degree of the term of largest degree.

The degree of is 3.
The degree of is 4

Polynomials can be added, using either a horizontal or vertical format, by combining like terms.

Simplify: Use a horizontal format.

	Use the commutative and Associative properties of Addition to re-arrange and group like terms.
	Then combine like terms.

Simplify: Use a vertical format.

	Arrange the terms of each polynomial in descending order with like terms in the same column
	Combine the terms in each column

Subtraction of polynomials

The opposite of the polynomial (3x² – 7x + 8) is –(3x² – 7x + 8)
To simplify the opposite of a polynomial, change the sign of each term inside of the
parentheses.

Polynomials can be subtracted using either a horizontal or vertical format. To subtract, add the
opposite of the second polynomial to the first.

Simplify: . Use a horizontal format.

	Add the opposite of the second polynomial to the first
	Combine like terms

Simplify: Use a vertical format.

The opposite of 2y² + 4y – 21 is –2y²– 4y + 21

	Arrange the terms of each polynomial in descending order with like terms in the same column
	Note that 4y – 4y = 0, but 0 is not written.

Home