How do you write a polynomial in standard form, then classify it by degree and number of terms g^4 - 2g^3 - g^5?

1 Answer
Aug 17, 2017

The expression -g^5+g^4-2g^3 is a 5th degree polynomial

Explanation:

The standard form of a polynomial means that the order of degree, with the highest degree going first, and then the next highest, and so on and so forth...

So, we go from g^4-2g^3-g^5 to -g^5+g^4-2g^3

This is the standard form of the polynomial. Now let's classify it

Classification by term:
We are actually classifying the expression by the number of terms. So, there are more than 3 terms (-g^5+g^4-2g^3+0g^2+0g), which means we call it a polynomial

Classification by degree:
Once the expression is in standard form, we just look at the leading term, and the degree. So, the degree in this polynomial is g^5, so color(red)(5).

The expression -g^5+g^4-2g^3 is a 5th degree polynomial