SOLUTION: I NEED HELP ON POLYNOMIALS. FOR FINALS WE NEED TO KNOW WHAT IS THE DEGREE AND NAME OF IT. MY FIRST PROBLEM SAYS: 5X^2 - 3X^2. I NEED YOU TO HELP ME FIGURE OUT THE DEGREE, THE NAME

Question 83530: I NEED HELP ON POLYNOMIALS. FOR FINALS WE NEED TO KNOW WHAT IS THE DEGREE AND NAME OF IT. MY FIRST PROBLEM SAYS: 5X^2 - 3X^2. I NEED YOU TO HELP ME FIGURE OUT THE DEGREE, THE NAME OF THE DEGREE, AND THE NAME BY TERM.
Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
A polynomial is an algebraic expression that is a sum of terms, where each term contains only variables with whole number exponents and integer coefficients.
Example: The following expressions are all considered polynomials:

- 4x + 7

+ 2x � 7

x

The following are NOT polynomials:
,

A polynomial can have any number of terms (�poly� means �many�). We have special names for polynomials that have one, two, or three terms:

A monomial has one term (�mono� means �one�). The following are monomials:
x, , etc.
A binomial has two terms:
x + 1, � 3x

A trinomial has three terms:
� 3x , � 4x + 1

The degree of an individual term in a polynomial is the sum of powers of all the variables in that term.

Examples:
here...Degree = 3

Degree = 4
x ... degree = 1

Degree = 7 (because 2 + 5 = 7)

37 here Degree = 0, because here you dont have a vairable
Remember that degree of a constat term is always zero.

The degree of the entire polynomial is the degree of the highest-degree term that it contains, so
+ 2x � 7 is a second-degree trinomial,

and is a fourth-degree binomial.

Now come back to your question...it is...

5X^2 - 3X^2. I NEED YOU TO HELP ME FIGURE OUT THE DEGREE, THE NAME OF THE DEGREE, AND THE NAME BY TERM.

In this question you have two terms...they are 5x^2 and 3x^2

Degree of both the terms is 2.

So this is a second degree polynomial.

But here you can simplyfy the given expression(since both the terms are of same degree) as follow.....

=

Here we got a single term.....so we can say that the given polynomial is a second degree monomial(since there is only one term)

Hope you found the explanation useful.

Regards.

Praseena.