Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `x^7y^2 + 4x^3y + 10x^3`?

Answer 1

Currently is in standard form, degree`=9`; There are `3` terms

Explanation:

Our polynomial is in standard form when the exponents of `x` are descending, and the exponents of `y` are descending. Right now, it is in standard form because from left to right, the exponents on `x` go from `7` to `3` to `3`, and on the `y` terms, the exponents go from `2` to `1` to `0`.

NOTE: `y^0` can go at the end of the last term since it is equal to `1` and will not change the meaning of the expression.

Degree: This would be a `9th` degree polynomial, because the highest exponent is on the term `x^7y^2`, and if we add the exponents, we get `9` as the degree.

Terms: The terms are separated by the addition signs, thus we have `3` terms.

Hope this helps!