Answer :
Final answer:
The correct representation of the polynomial [tex]P(x) = x^3 - 7x^2 + x + 25[/tex] is Option A, as it exactly matches the predefined expression of P(x).
Explanation:
The student asked which of the following options correctly represents the polynomial [tex]P(x) = x^3 - 7x^2 + x + 25[/tex]. The correct representation of this polynomial is Option A) [tex]P(x) = x^3 - 7x^2 + x + 25[/tex]. This is because this option directly matches the predefined expression for P(x). In a polynomial, each term is represented as a product of a coefficient and the variable x raised to a power, starting from the highest power moving down to the constant term (if present). Understanding the structure of polynomials is crucial for various operations like differentiation, integration, and solving polynomial equations.
