Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `xy^3 + 3x^2y – 7`?

Answer 1

The answer is `xy^3 + 3x^2y - 7` and the polynomial is of the fourth degree, with 3 terms.

Explanation:

Given polynomial equation is

`xy^3 + 3x^2y - 7`

`xy^` has a degree of 4

`3x^2y` has a degree of 3

`-7` has a degree of 0

The expression has 3 terms:
`color(white)("XXX")xy^3`
`color(white)("XXX")3x^2y` and
`color(white)("XXX")-7`

The answer is `xy^3 + 3x^2y - 7`

and the polynomial is of the fourth degree with three terms.