CLASSIFYING POLYNOMIALS
Polynomials are of 3 different types and are classified based on the number of terms it has. The three types of polynomials are
- Monomial
- Binomial
- Trinomial
Monomial :
A Monomial is an expression which contains only one term.
For examples,
5x, 3, 6a4, -3xy
Binomial :
A binomial is a polynomial expression which contains exactly two terms. A binomial can be considered as a sum or difference between two or more monomials.
For examples,
– 5x+3, 6a4 + 17x, xy2 + xy
Trinomial :
A trinomial is an expression that is composed of exactly three terms.
For examples,
– 8a4+2x+7 and 4x2 + 9x + 7
Note :
These polynomials can be combined using addition, subtraction, multiplication, and division but is never division by a variable.
Some examples of Non Polynomials are
1/x+2, x-3, x1/3
Determine if each expression is a monomial, binomial, trinomial, or not a polynomial.
|
1) -4xy |
It has one term |
Monomial |
|
2) a² - 8 |
It has two terms |
Binomial |
|
3) x/5 |
It has one term |
Monomial |
|
4) 7z-1 |
It has one term, but negative exponent |
Not a monomial |
|
5) b7 |
It has one term |
Monomial |
|
6) 2m - 7 |
It has two terms |
Binomial |
|
7) x² + 3x - 4 - 5 |
It has four terms |
Polynomial |
|
8) 5/2x – 3 |
It has two terms |
Binomial |
|
9) 3y² - 6 + 7y |
It has three terms |
Trinomial |
|
10) 3x + 8x – 5x² |
It has three terms |
Trinomial |
|
11) 8x³y²z |
It has one term |
Monomial |
|
12) 2a² + 3ab-5ba |
It has three terms |
Trinomial |
|
13) 9r + 11 – 5r² |
It has three terms |
Trinomial |
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