Final answer:
To simplify -2f(x) for the function f(x) = 5 - x², multiply each term by -2, resulting in the simplified polynomial -10 + 2x².
Step-by-step explanation:
The student asked to simplify the expression -2f(x) given the function f(x) = 5 - x². To simplify, we multiply each term of the function by -2:
-2f(x) = -2(5 - x²) = -10 + 2x².
Therefore, -2f(x) as a simplified polynomial is -10 + 2x².