What must be true about this multiplication problem? (9x3+76)(x−25) (1 point) Responses The result is unknown. The result is unknown. The result is a polynomial. The result is a polynomial. The result is not a closed system. The result is not a closed system. The result is not a polynomial.

Answer 1

The correct response about the multiplication problem \((9x^3 + 76)(x - 25)\) is:

The result is a polynomial.

When you multiply two polynomials, the result is always a polynomial. In this case, \(9x^3 + 76\) is a polynomial of degree 3, and \(x - 25\) is a polynomial of degree 1. The product of these two polynomials will also be a polynomial (specifically, of degree 4).