What must be true about this multiplication problem?

(9x3+76)(x−25)

(1 point)
Responses

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 unknown.
The result is unknown.

The result is not a polynomial.

1 answer

The statement that is true about the multiplication problem \((9x^3 + 76)(x - 25)\) is:

The result is a polynomial.

When you multiply two polynomials, the result will also be a polynomial. In this case, both \(9x^3 + 76\) and \(x - 25\) are polynomials, so their product will also be a polynomial.