English | Español

Try our Free Online Math Solver!

Online Math Solver

 

 

 

 

 

 

 

 
 
 
 
 
 
 
 
 

 

 

 
 
 
 
 
 
 
 
 

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


Polynomials

The Degree of axn

• If a does not equal 0,the degree of axn is n.
The degree of a nonzero constant is 0.The
constant 0 has no defined degree.

Definition of a Polynomial in x

• A Polynomial in x an algebraic
expression of the form

• Where and are real
numbers. ,and  n is a non- negative
integer. The Polynomial is of degree n, an
is the leading coefficient, and is the
constant term.

Text Example

Perform the indicated operations and simplify :

Solution

Group like terms .
Combine like terms .

Multiplying Polynomials

The product of two monomials is obtained by using properties of exponents .
For example


Multiply coefficients and add exponents .

Further more , we can use the distributive property to multiply a monomial and
a polynomial that is not a monomial . For example,

Multiplying Polynomials When
Neither is Monomial

• Multiply each term of one polynomial by
each term of the other polynomial. Then
combine like terms.

Using the FOIL Method to Multiply Binomials
 

Text Example

Multiply:

Solution:

Combine like terms.

The product of the Sum and
Difference of Two Terms

• The product of the sum and the difference
of the same two terms is the square of the
first term minus the square of the second
term.

The Square of a Binomial Sum

• The square of a binomial sum is the first term
squared plus 2 times the product of the
terms plus last term squared.

The Square of a Binomial
Difference

The square of a binomial difference is the first
term squared minus 2 times the product of
the terms plus last term squared.

Special Products

Let A and B represent real numbers , variables, or algebraic expression.

Special Products
Sum and Difference of Two Terms
Example
Square a Binomial  
Cubing a Binomial  

Text Example

Multiple:

Solution

We will perform the multiplication in part (a) using the (FOIL) method. We Will
multiply in part (b) using the formula for the square of a binomial,

  Multiply these binomial using the FOIL method.

Combine like terms.

Example

Multiply:

• Solution:

Prev Next