Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `−3x^4y^2 + 4x^4y^5 + 10x^2`?

Answer 1

See below

Explanation:

For a polynomial to be written in standard form
The one with greatest power is to be written first and then with decreasing powers.
For this polynomial the standard form is
`4x^4y^5 - 3x^4y^2 + 10x^2`

The degree or the highest power is the greatest possible value of sum all powers of all variable in a single term.
For this polynomial the degree is 4+5 = 9.
And the number of terms in it are 3, thus it is a trinomial.