Q:

Express the polynomial x2 − x4 + 2x2 in standard form and then classify it.

Accepted Solution

A:
Answer:-x⁴ + 3x² is the standard form, and this is a quartic binomial.Step-by-step 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 2Therefore, standard form is   -x⁴ + 3x²The 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