To find the remainder of the polynomial \( f(x) = 9x^2 - 50 \) when divided by \( x - 73 \), we can apply the Remainder Theorem. The Remainder Theorem states that the remainder of the division of \( f(x) \) by \( x - c \) is equal to \( f(c) \).
In this case, we will evaluate \( f(73) \):
\[ f(73) = 9(73)^2 - 50 \]
First, calculate \( 73^2 \):
\[ 73^2 = 5329 \]
Now substitute this back into the function:
\[ f(73) = 9(5329) - 50 \]
Now calculate \( 9(5329) \):
\[ 9 \times 5329 = 47961 \]
Now, subtract 50:
\[ f(73) = 47961 - 50 = 47911 \]
Therefore, the remainder when \( 9x^2 - 50 \) is divided by \( x - 73 \) is \( 47911 \).
Since none of the responses you provided match this remainder, please check the options again. The remainder you are looking for is \( 47911 \).