Express the polynomial x^2-x^4+2x^2 in standard form and then classify it a. quadratic trinomial b. quintic trinomal c. quartic binomial d. cubic trinomial

Answer: -x⁴ + 3x² is the standard form,and this is a quartic  binomial.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.

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