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 unknown.
The result is unknown.

The result is not a closed system.
The result is not a closed system.

The result is not a polynomial.

1 answer

The multiplication problem \((9x^3 + 76)(x - 25)\) involves the product of two expressions, where one is a polynomial of degree 3 and the other is a polynomial of degree 1. When you multiply two polynomials together, the result is always a polynomial.

Therefore, the correct answer is:

The result is a polynomial.