Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `8g-3g^3 +4g^2 -1`?

Answer 1

Standard form: `-3g^3 + 4g^2 + 8g - 1`
Degree: `3`
Terms: `4`

Explanation:

In standard form, the terms are expressed from the largest to smallest exponent:
`-3g^3 + 4g^2 + 8g - 1`

Classifying by degree means to find the highest exponent of the terms, so the degree is `3`.

A term is a value split by the addition and subtraction operations, so there are 4# terms.

Hope this helps!