To analyze the multiplication problem \((9x^3 + 76)(x - 25)\), we note that:
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Polynomial Definition: A polynomial is an expression that can consist of variables, coefficients, constants, and non-negative integer exponents. The expression \(9x^3 + 76\) is a polynomial, and \(x - 25\) is also a polynomial.
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Multiplication of Polynomials: The product of two polynomials is also a polynomial. Specifically, multiplying \(9x^3 + 76\) (which is a polynomial of degree 3) with \(x - 25\) (which is a polynomial of degree 1) will result in a polynomial of degree \(3 + 1 = 4\).
Therefore, we can conclude that the correct response regarding this multiplication problem is:
The result is a polynomial.