Answer:
-x⁴ + 3x² is the standard form, and this is a quartic binomial.
Explanation:
We look to see if there are any like terms first. x² and 2x² are like terms; they combine to make 3x². So this polynomial really only has two terms when simplified.
The standard form of a polynomial has all of its terms in decreasing order of degree.
-x⁴ ⇒ degree 4
3x² ⇒ degree 2
Therefore, standard form is
-x⁴ + 3x²
The degree of this polynomial is the degree of the highest degree term, which is 4. A degree 4 polynomial is called a quartic polynomial.There are two terms, so we can further classify this as a binomial.
Therefore, the answer is quartic binomial