How do you write a polynomial in standard form, then classify it by degree and number of terms #-2x+6-x^3+5x#?

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Answer 1 · 2017-05-29T22:53:37

#- x^(3) + 3 x + 6#

Cubic expression (degree #3#)

#3# terms

We have: #- 2 x + 6 - x^(3) + 5 x#

A polynomial in standard form is expressed by ordering the terms by degree from left to right, in descending order:

#= - x^(3) + 5 x - 2 x + 6#

Let's collect the like terms:

#= - x^(3) + 3 x + 6#

This is a cubic expression, as the leading term has degree #3#.

The number of terms is also #3#.