**Types of Polynomials**

### Monomials

A monomial is an expression with one term. However, the term
can not have a variable in its denominator.

**Examples:**

### Binomials

A binomial is a polynomial with two terms.

**Examples:**

| 6x + 3 |

| -12x - 3y, 7xy + z |

### Trinomials

A trinomial is a polynomial with three terms.

**Examples:**

| 6x^{2} + 3x + 5 |

| -2xy + 3x - 5z |

**Other Special Notes About
Polynomials**

### Degree

The degree of a monomial is the sum of the exponents of its
variables.

**Examples:**

| -5 has degree = 0 (because it has no variables) |

| 6x^{2} has degree = 2 |

| 6x^{2}y has degree = 3 (because the exponent on y is 1,
we just don't write it) |

The degree of a polynomial is the highest degree of any of its
terms, after it has been simplified. (i.e. like terms have been
combined)

**Examples:**

| 6x^{2} + 3x + 5 has degree = 2 (because 6x^{2}
has the highest degree) |

| -5x + 6x^{2}y + 7x -6x^{2}y + 5xy simplifies to
-5x + 7x + 5xy so the polynomial has degree = 2 (because the
degree of 5xy is 2) |