Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `8-6w-12w-8w^2-7-3w^3`?

Answer 1

See explanation.

Explanation:

`8-6w-12w-8w^2-7-3w^3`

First you can reduce the like terms:

`8-18w-8w^2-3w^3`

Now we can order the terms by decreasing powers of `w`:

`-3w^3-8w^2-18w+8`

This polynomial is in the standard form. From this form you see, that the polynomial:

• has `4` terms,

• is a polynomial of third degree. (the highest exponent to which the unknown is raised is `3`)