# How do you write a polynomial in standard form, then classify it by degree and number of terms x-6x^2?

##### 1 Answer
Jan 16, 2018

This is a quadratic binomial.

#### Explanation:

Given:

$x - 6 {x}^{2}$

To write this in standard form, put the terms in descending order of powers of $x$ to get:

$- 6 {x}^{2} + x$

The term of highest degree is $2$, so we call this a quadratic polynomial.

Here are the names of polynomials of the first few degrees:

$1$ - Linear

$2$ - Quadratic

$3$ - Cubic

$4$ - Quartic

$5$ - Quintic

$6$ - Sextic or Hextic

$7$ - Septic (!) or Heptic

$8$ - Octic

$9$ - Nonic

$10$ - Decic

The given polynomial consists of two terms, so it is called a binomial.

Here are the names given to expressions consisting of $n$ terms for the first few values of $n$:

$1$ - Monomial

$2$ - Binomial

$3$ - Trinomial

$4$ - Quadrinomial