What must be true about this multiplication problem? \[ \begin{array}{l}\left(\frac{9 x^{3}+7}{6}\right)\left(\frac{x-2}{5}\right) \\ (1 \text { point) } \\ \text { O The result is not a polynomial. } \\ \text { The result is not a closed system. } \\ \text { The result is a polynomial. }\end{array} \]

For the multiplication of the expressions given, the result will indeed be a polynomial. Why? Because you are multiplying two rational expressions, where the numerators of both expressions are polynomials (9x³ + 7 and x - 2). When you compute the product, the result is still a polynomial in the numerator over a product of constants in the denominator, thus keeping it a polynomial form. Additionally, the multiplication of these two expressions will yield a fraction, but as long as you’re only involved in polynomial multiplication, you're working within the realm of polynomials. However, the final expression would be a rational expression and can represent a polynomial depending on how it's simplified; so, the key takeaway is that while it may not entirely resemble a clean polynomial due to the denominator, the numerator certainly follows polynomial behavior!