# ALGEBRA GLOSSARY : DEFINITIONS WITH EXAMPLES OF MONOMIAL, BINOMIAL, TRINOMIAL, MULTINOMIAL, POLYNOMIAL, STUDY OF POLYNOMIALS

Algebra Terms before Algebra Glossary
if you have not already done so.

## Monomial, binomial, trinomial, multinomial, polynomial of Algebra Glossary

### Monomial in Algebra :

An algebraic expression containing only one term is called a monomial.

Examples:
Each one of 3x, -7y, 5xy, 4, -8, 6ab2c, 2ab2 is a monomial.

# Binomial in Algebra :

An algebraic expression containing two unlike terms is called a binomial.

If the two terms are like terms, we can combine them and make it as one.

Examples:

(i) 9x + 10 is a binomial having two terms 9x and 10.

(ii) -3ab2 + 9b2a is NOT a binomial.
Because the two terms are like terms.
You can see -3ab2 + 9b2a = -3ab2 + 9ab2 = 6ab2 is a single term.

(iii) 9x - 5⁄y is a binomial having two terms 9x and - 5⁄y.

(iv) a2b + 9ab2c is a binomialhaving two terms namely a2b and 9ab2c.

### Trinomial in Algebra Glossary :

An algebraic expression containing three unlike terms is called a trinomial.

Examples:

(i) 2x + 3y + 4 is a trinomial having three terms 2x, 3y and 4.

(ii) 7xy + 5yz + 6zx is a trinomial having three terms 7xy , 5yz and 6zx .

(iii) 4x2 - 5y⁄2 + 3z2 is a trinomial having three terms 4x2, -5y⁄2 and 3z2.

(iv) 2a + 3⁄b -4⁄c2 is a trinomial having three terms 2a, 3⁄ b and - 4⁄c2.

### Multinomial in Algebra Glossary :

An algebraic expression containing more than three unlike terms is called a multinomial.

Examples:

i) 2x + 3⁄x + 7xy - 5⁄y ,
ii) 4√x + 3x2 + 2x3 + 9,
iii) x + 6xy2 + 7yx3 - x4,
iv) x2y + y + xy + 8.
are all multinomials.

Great Deals on School & Homeschool Curriculum Books

Here is a collection of proven tips,
tools and techniques to turn you into
a super-achiever - even if you've never
thought of yourself as a "gifted" student.

and remember large chunks of information
with the least amount of effort.

If you apply what you read from the above
collection, you can achieve best grades without
giving up your fun, such as TV, surfing the net,
playing video games or going out with friends!

## Speed Study System.

### Polynomial in Algebra Glossary :

An algebraic expression containing one or more more terms is called a polynomial, if every variable in it has only whole number ( 0 or positive integer ) powers.

Example:

2x4 + 2x3 is a polynomial with 2 terms.

So what is the difference between multinomial and polynomial?

The powers of the variables in multinomial (and also in monomial, binomial, trinomial) can have any real values (positive integers, negaitive integers, rational numbers, irrational numbers}.

where as The powers of the variables in polynomial
can have only whole number powers.

Out of the Examples given above for multinomial,ONLY iii) is polynomial.

i),which is
x + 3⁄x + 7xy - 5⁄y is NOT a polynomial.
Because it has negative power terms. ( x and y in the denominator indicate theirpowers are -1. )

ii) and iv) are not polynomials because they have '√'which means the power is 1⁄2 which is not a wholenumber.

## Progressive Learning of Math : Algebra Glossary

Recently, I have found a series of math curricula
(Both Hard Copy and Digital Copy) developed by a Lady Teacher
who taught everyone from Pre-K students to doctoral students
and who is a Ph.D. in Mathematics Education.

This series is very different and advantageous
over many of the traditional books available.
These give students tools that other books do not.
Other books just give practice.
These teach students “tricks” and new ways to think.

These build a student’s new knowledge of concepts
from their existing knowledge.
These provide many pages of practice that gradually
increases in difficulty and provide constant review.

These also provide teachers and parents with lessons
on how to work with the child on the concepts.

The series is low to reasonably priced and include

## Elementary Math curriculum and Algebra Curriculum.

### Studying about polynomials : Algebra Glossary

Polynomials is an important topic in Basic Algebra.

For studying about various aspects of them, go to

POLYNOMIALS

Algebra Formulas.

Algebra Factoring.

Factoring Special Products.

Factoring Trinomials.

Factoring Polynomials.

For studying to find the value of an
algebraic expression by substitution,
Go to

Algebra Substitution