Simplify the polynomial, if possible, and write it with descending powers. Then give the degree of the resulting polynomial, and tell whether it is a monomial, a binomial, a trinomial, or none of these. \( 3 x^{3}-7 x \) Select the correct choice below and fill in the answer box to complete your choice. A. The polynomial cannot be simplified. The polynomial written in descending powers is B. The polynomial can be simplified. \( 3 x^{3}-7 x= \)

B. The polynomial can be simplified. \( 3 x^{3}-7 x = 3 x^{3} - 7 x \) written in descending powers is \( 3 x^{3} - 7 x \). The degree of this polynomial is 3, and since it has two terms, it is classified as a binomial. Did you know that polynomials have fascinating histories? They trace back to ancient civilizations. Babylonians were calculating quadratic equations around 2000 BC! They were some of the first to recognize that solutions could be represented algebraically, paving the way for modern algebra. As for real-world applications, polynomials pop up everywhere! Engineers use them for modeling various phenomena, from projectile motion to calculating areas and volumes. Even in finance, polynomials can help predict profits and calculate interest rates!