# 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-6x^2#

To write this in standard form, put the terms in descending order of powers of

#-6x^2+x#

The term of highest degree is

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

#1# - Monomial

#2# - Binomial

#3# - Trinomial

#4# - Quadrinomial